Measuring Volume of liquids

Summary

Liquids takes the shapes of the container but have fixed volume. Hence apparatus has been devices to measure conveniently and precisely volume of a liquid.

This article describes the idea behind calibration of measuring cylinders and discuss some important apparatus used to measure volume. They apparatus includes:

Measuring Cylinder
Volumetric flasks
beakers
pipettes
burettes
user customized apparatus

Introduction

liquids have no definite shape but assumes the shape of the containers in which they are put in.

One of the methods that can be used to measure volume of a liquid is to pour the liquid into a container of uniform cross-section as shown in figure below.

The volume of the liquid is obtained from the formula:

Volume = cross-section area x height

i.e V = Ah

For the diagram above, area of the cross-section is given as l x b.

This is because the cross-section area of the prism is a rectangle.

Considering the space occupied by the liquid in the container as having shape of a rectangular prism, The volume of the liquid can thus be determined.

using the above diagram, the volume of the liquid in the container = l x b x h=lbh

Relationship between volume and height a liquid

if area of a container is not changing, then increase in volume of the liquid will be reflected in the increase of height of the liquid column.

In the following, we investigate the change how change of liquid height is affected by volume.

Apparatus

Rectangular container
A cylinder

procedure

Take two containers. P with a rectangular base and Q with a cylindrical base.
Container Q is uniformly calibrated as in figure below

pour some water into P and find it’s volume V.
Transfer the water from P to Q and record the height h of water in Q.
Repeat the above procedures for different values of V and record corresponding values of h as in the table below.

Volume V(cm³)	150	200	300	400	500	600	800
height h(cm)	0.97	1.30	1.95	2.60	2.35	3.90	5.20
(v/h)cm²	154.64	153.84	153.85	153.85	153.85	153.85	153.85

a table for Volume against height of a liquid in a uniform container

Draw the graph of V against h

In practice,measuring vessels are made of cylindrical form that have its height calibrated uniformly so that each level of height represents the volume putting in mind that the bottom surface area is fixed and cannot change.

Increase in height shows increase in volume and so the volume that is represented by a particular height can be conveniently indicated on each level of height so that it can always be read off directly without using the formula; V=BaseAarea X height.

Measuring Instruments marked as described above are called measuring cylinders and are commonly used in measuring liquid volumes.

Measuring cylinders are usually made of glass or transparent plastic and graduated incm³ or milliliters(ml).

Measuring cylinders of various capacities

other instruments that can be used to measure volumes includes:

Measuring flasks
pipettes
burettes
beakers

Measuring flasks

Also known as volumetric flasks.

It is commonly used in laboratories to transfer known volumes of liquids.

A volumetric flask is usually calibrated to contain a precise volume at a certain temperature and are used for precise dilutions and preparation of standard solutions. These flasks are usually pear-shaped, with a flat bottom, and made of glass or plastic.

Measuring flask of capacity 500ml with some chemical solution.

pipettes

A pipette is usually used to transport a measured volume of liquid.

It’s name comes from the word pipe because it has a pipe like shape. Mostly it transfers liquids of less than 250ml in volume.

Burettes

A burette is a long graduated glass tube with a tap at lower end and of a fixed capacity with a tapered capillary tube at the tap’s outlet. Typical burettes ranges from 50ml to 500ml in capacity.
stop-cock valve controls the flow of liquid from the burette so that a precise amount of liquid is fetched at any given moment.

The scale of a burette starts from zero at the top and increases downward to the maximum value.

In the diagram above, volume marking markings reads 20ml. This means 20ml of the liquid has been removed from the burette and so the volume left is (50-20)ml = 30ml.

Beaker

A beaker is a cylindrical container with flat bottom. It usually have a small spout (beak) to aid pouring.
Beakers are of various capacities and the largest can carry several litres of liquid.

Unlike a volumetric flask, beaker have a straight curved surface as opposed to sloping sides.

Beakers are usually made of glass (borosilicate glass), but can also be in metal (stainless steel or aluminum) or certain plastics, notably polythene or polypropylene.

Beakers are common lab apparatus.

How to use a measuring cylinder and beaker

When reading volumes, the reading should be taken with the eye positioned with the bottom of meniscus as in figure below.

Conclusion

In this article, we have described various instruments used to measure volumes and highlighted their special features . We have described how to calibrated a measuring cylinder using principles of regular prism. we have discussed some apparatus like beaker,volumetric flasks,pipette and burettes.

Volume of Regularly-shaped Solids

according to oxford dictionary,solid means hard or firm.

A regularly shaped solid is an object with a definite shape that can always be described. Each regularly shaped solid have a known geometrical shape and hence can be identified by name.

Some of the common known regular solids includes:

Cube

A cube is a six sided object with all its edges equal in length. A cube has a solid shape with six square faces all equal in area and lengths.

The volume of a cube (V_cube) is given by V_cube= l x l x l = l³ where l is the length of the edge of the cube.

cuboid

A cuboid is an object with six faces where each pair of the opposite faces are equal in shape and size. Cuboid means “like a cube” because it has the same shape with a cube, except that all its sides are not equal.

The figure below shows a cuboid with one edge named length, another one named width and the other one named height.

Volume of a cuboid (V_cuboid) will be given by V_cuboid = Length x Width x Height

Cylinder

A cylinder is a three dimensional object consisting of two parallel circular surfaces that are connected by a curved surface. The distance between the two circular faces is a fixed distance and is usually refereed to as the height of the cylinder. There is an imaginary line that passes through the center of the circles and perpendicular to the circles known as the axis.

Volume of a cylinder (V_cylinder) is given by V_cylinder = BaseArea(BA) x height(h) where BaseArea is the area of one of the circular face given by Area (A) = πr² hence V_cylinder = πr² h

Sphere

A sphere is a geometrical object that is round in shape and is defined in a three-dimensional space without any face.

Volume of a sphere (V_sphere) will be given by ;

V_sphere = (4/3)πr³

where r the radius and π a mathematical constant.

Cone

A cone is a three-dimensional shape with a flat circular base and a curved surface that forms a sharp point at the top. The sharp point is called the vertex.

The three parts that makes a cone are its radius, height, and slanting height. Radius r is the distance between the center of the circular base to any point on the circumference of the base.

The slant-height l is defined as the distance between the vertex of the cone to any point on the circumference of the circular base.

The height h of a cone is the distance between the vertex and the center of the circular base.

Figure below illustrates a cone

Volume of a cone (V_cone) will be given by V_cone = (1/3) πr²h.

but πr²h = volume of a cylinder.

hence V_cone = (1/) x Volume of a cylinder

Prisms

A prism is a three-dimensional object with two identical surfaces facing each other usually referred to as the bases of a prism. The base of the prism is usually called the cross-sectional area.

Length of the prism is distance between the two identical surfaces.

The base of the prism can assume varied shapes hence we have different types of prisms like:

square prism
triangular prism
rectangular prism
pentagonal prism
hexagonal prism
octagonal prism
nonagonal prism
decagonal prism
hendecagonal prism
Dodecagonal prism
tridecagonal/triskaidecagonal prism
tetradecagonal prism
pentadecagonal prism
e.t.c.

To get the volume of the prism, you simply gets area of the base and multiply it with the length of the prism. hence

volume a prism = cross-section Area(A) x length (l).

Volume of a Hexagonal prism

The hexagonal prism is a prism with hexagonal base. The word hexagonal comes from the word hexagon. In geometry, a hexagon is a six-sided polygon.

so volume of Hexagonal prism is given as a product of the area of the hexagonal base and the length between the two hexagonal ends.

A regular hexagon has six sides each with the same length. By drawing lines from vertices that are joining at the center of the hexagon, six isosceles triangles can be obtained from the hexagon. The area of the hexagon is equal to area of one triangle multiplied by number of triangles.

Volume

In physics, volume is a measure of the three-dimensional space occupied by a substance or enclosed within a container. It is typically measured in cubic units such as cubic meters (m³) or cubic centimeters (cm³).

Volume as a three dimensional quantity, is obtained when three lengths are multiplied together.

Another popular definition is that volume is a measure of space.

because volume results from product of three lengths, the SI unit of volume is cubic-meter(m³). That is, SI unit of volume is the cube of the SI unit of length. This tells us that volume is a derived quantity.

However, There are common sub-multiples of volumes like:

cubic-centimeters (cm³)
cubic-millimeters (mm³)
cubic-micrometers (µm³) ………….just to name a few.

1m³ =1m x 1m x1m

but 1m =100cm

hence 1m³ =100cm x 100cm x 100cm = 1000000cm³.

From Volume, we can find units of capacity like litres(l) and millitres(ml).

1 ml =1cm³

1 litre = 1000ml

1 m³ = 1000 litres.

when you buy a half litre packet of milk from the supermarket, you are actually buying 500ml of milk.

Example

Express 43.5mm³ into m³.

Solution

Example

convert 0.00006 m³ into cm³

Solution

practice Questions

The radius of a typical atom is considered to have a volume of 10^-10m³. Express the given volume in:

mm³
cm³
µm³

Area of irregularly-shaped surfaces

Irregular shapes are shapes that cannot be precisely described in terms of geometrical shapes. Their edges and vertices are not uniform.

An estimate of the area of an irregular shape can be made by dividing the shape up into squares each of area 1 cm² . By counting the number of small squares, the area of the irregular shape can be estimated. consider the diagram below.

in the figure above, the number of squares that are completely covered by the shape are 39. The number of squares that have been touched by the figure (partially covered) are 30. confirm by counting.

The area is thus calculated as follow:

Area covered by complete squares = 39 cm² .

Area covered by partially covered squares = 30/2= 15cm² .

Therefore the area covered by the figure =( 39 + 15 ) cm²=54 cm²

Hence the estimated area of the given figure is 54 cm²

Practice Question

Determine the area of the figure below.

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Area

Home

December 23, 2023

AREA

Area is the quantity that expresses the extent of a given surface on a plane and it is a derived quantity of length. Area is obtained from product of two lengths. The SI Unit of square metre (m²).

square metre can be expressed into other units like square-centimeter (cm²), square-millimeter(mm²) or square-kilometer (km²).

1 m² = 1m x 1m

but 1m = 100cm

hence 1m² =100cm x 100cm

and so 1m² =10000cm²

similarly;

1m = 1000mm (millimeters)

1m² =1000mm x 1000mm =1000,000 mm².

1 km² =1000m x 1000m = 1000,000 m².

we will go ahead and convert area in square meters to some other units

Express the following into square-centimeter (cm²)

8.2 m²
5.4 m²
0.078m²
0.000000000064 km²

solution

1m² =100cm x 100cm=10000cm²

1m² =10000cm²

8.2m = ?

2.

1m² =100cm x 100cm=10000cm²

1m² =10000cm²

5.4=?

3.

1m² =100cm x 100cm=10000cm²

1m² =10000cm²

0.078=?

4.

1km² =1000m x 1000m=1000 x 100 cm x 1000 x 100 cm

1km² =10,000,000,000cm²

0.000000000064 km² = ?

Example

convert the following into m²

4500 cm²
0.0072 cm²

solution

1.

1m² = 10000cm²

? = 4500cm²

2.

1m² = 10000cm²

? = 0.0072 cm²

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December 23, 2023

Reading a metre rule

most of people don’t read metre rule correctly. A metre rule has 100cm and between two consecutive centimeter marks there are gaps. The gaps between centimeter marks can be reduced by dividing the gap into smaller sub units. When divided into 10 equal divisions, then each of such smaller division is called a millimeter because it will be dividing the metre length into 1000 divisions with each divisions being equal to 0.001m. Then the accuracy of the meter rule can be said to be equal to 1/1000 of a metre(0.001m). when the rule is calibrated into centimeter divisions alone, then the metre length is divided into 100 divisions with each divisions being equal to 0.01m. the accuracy of the measurements taken by such a rule is thus (1/100)m=0.01m).

consider the reading shown by the arrow in figure below.

The reading above is more than 1.6 cm but less than 1.7 cm. The position of our point object is not lying on exact reading. we cannot precisely state what measurement it is because it is not indicated. there is an empty gap and we need to approximate that extra length beyond the 1.6 cm because it is not indicated. We can increase the accuracy of the meter rule by dividing the gap into smaller divisions. suppose we approximate the second decimal to be 1.65 cm, there is nothing that prevents us from stating it as 1.66 cm,1.67 cm or even 1.64 cm.

The second decimal place cannot be accurately determined. Nevertheless, the readings from a meter rule may be written up to the second decimal place of a centimeter.

A reading like 2.584 cm cannot be taken by a metre rule. In later lessons, we will discuss how to increase the decimal places in measurement of length using other special instruments like micrometer screw-gauge.

If the readings of 3.6 cm and 7 cm are taken with a meter rule, then they should be written as 3.60 cm and 7.00 cm respectively. This is because a meter rule is calibrated to an accuracy of 0.01 m (100 divisions).

Practice Question

Record the readings indicated by P₁,P₂ and P₃ shown in the figure below.

Answer to practice question

P₁=69.50 cm (approximations done)
P₂=71.00cm
p₃=71.50cm

Practice Exercise

State the readings indicated by the arrows in the figures below

Maximizing Precision: How to Read a Ruler Correctly and Preventing Measurement Errors

A ruler is a tool mostly used to measure small lengths. A metre rule has a length of one metre, which is equal to one hundred centimeters.

A ruler, also known as a rule, scale and sometimes a line gauge, is an instrument used to measure lengths. A user estimates a given length by reading from a series of markings called rules along an edge of an object whose measurements are required. Mostly it is a rigid straightedge which allows one to draw straight lines.

you can use a meter rule to determine approximation of given length or you can use the rule to get accurate measurements.

Approximation – This includes estimating the length.
Using a standard measure(instruments)

Meter rules and half meter rules are used.
They are graduated in centimeters and millimeter.
They are made of wood, plastic or steel.

How to read a ruler

Reading measuring instruments at an angle can make us read incorrectly. To be able to read a ruler accurately and effectively, proceed as follows:

Put the zero (0) mark to coincide with the start of the object to be measured.
Look perpendicular to the edge end of the measurement taken
For accurate reading, always place your eyes vertically above the mark to avoid parallax. see figure 1.1 below

The figure below shows the correct measurement of length using metre rule:

correct measurement using a meter rule — figure 1.4: using a meter rule correctly

Errors associated with measuring with a ruler includes:

The end of the object is not aligned to the zero mark of the meter rule scale as shown.

Rule not aligned with the zero mark of the object — figure 1.2 : rule not aligned with the zero mark of the object

The rule is not in contact with the object

rule not in contact of the object — figure 1.3: rule not in contact with the object

The error that occurs when the position of the eye is not perpendicular to the scale is called parallax error

Isaac Newton

Sir Isaac Newton was an English scientist active as a mathematician, physicist, astronomer, alchemist, theologian, and author who was described in his time as a natural philosopher.He was a key figure in the Scientific Revolution and the Enlightenment that followed. His pioneering book ‘Philosophiæ Naturalis Principia Mathematica’ first published in 1687, consolidated many previous results and established classical mechanics.Newton also made seminal contributions to optics, and shares credit with German mathematician Gottfried Wilhelm Leibniz for developing infinitesimal calculus, though he developed calculus years before Leibniz.He is considered one of the greatest and most influential scientists in history.

Isaac Newton’s Quick Information

Some few important facts about Isaac Newton:

Official name: Sir Isaac Newton Newton
Date of Birth: 25^ThDecember 1642
Death: 20th March 1727
Age: 84 years
Place of Birth: Woolsthorpe Manor, Lincolshire county, England.
Occupation: polymath
Height: 5 feet 6 inches(1.68m)
Father’s Name: Isaac Newton
Mother’s Name: Hannah Ayscough
Wife: Never Married
Siblings: Mary Smith, Benjamin Smith and Hannah Smith.

Isaac Newton’s Age

Isaac Newton died at age of 84 years on 20th march 1642. He was born on 25th December 1642 in Lincolnshire county in England.

Early Life

His father died three months before he was born. His mother left her with maternal grandmother when he was three years old in order to marry a clergy man called Reverend Barnabas Smith. He disliked his step father, Mr. Smith and quarried constantly with the mother for marrying him.

Isaac Newton’s Education

He joined The King’s School in Grantham,a small town in Lincolnshire,England at the age of 12 and stayed in the school for 5 years. In that school, he learn Latin and Greek. Death of her mother’s second husband caused him to drop out of school. Through intervention of the principal of King’s school, He was readmitted back to school and did well academically.
He was admitted to Trinity College at the Cambridge University in 1661. He paid for his studies by doing manual jobs in school for the school staffs. In 1964, he was awarded scholarship that covered his university costs for four years until he completed masters of Art degree.

Newton’s Family

His Father was called Isaac newton and his mother was called Hannah Ayscough. His father died before he was born, when her mother was six months pregnant.
He had a step father called Barnabas Smith. His grandmother was called Margery Ayscough and had an uncle called Reverend Willam Ayscough. His uncle influenced his entry to University of Cambridge.

Newtons wife

Isaac Newton never married. He only showed some little interest on women when he was a teenage but later showed no interest with them. It is alleged that Isaac Newton died a virgin.However, in his teenage years, he seemed to enjoy company of girls than boys.

Newton’s contribution to science

in 1687 he wrote his first book by title ‘Philosophie Naturalis Principia’ where he prostrated the laws of motion and universal gravitation that form contributed immensely to the scientific world until it was superseded by theory of relativity.
He used his mathematical descriptions of gravity to derive Kepler’s law of planetary motion, explain trajectories motions, describe the p recession of the equinoxes and explain for tides.
His claim that the earth is an oblate spheroid was later confirmed by many scientist later on.
He built the first practical reflecting telescope.
He developed a sophisticated theory of color by splitting white light into colors of the visible spectrum.
Researched on light and wrote a book called Opticks which was published in 1974.
he prostrated the empirical law of cooling
He made the first theoretical calculations of the speed of sound
Introduced the concept of Newtonian’s fluid.
contributed to the study of power series
generalized the binomial theorem to non-integer exponents
developed a method of approximating the roots of a function
classified most of the cubic plane curves
He was a fellow of Trinity College and the second Lucasian Professor of Mathematics at the University of Cambridge.

Final analysis

Isaac newton is considered a father of classical mechanics. He contributed immensely in the field of Science and mathematics.Isaac Newton feared criticism and controversy. He was not good with interpersonal relationship, but good in mathematical and analytical skills. in later years of his life, he became religious.

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December 19, 2023

The Induced Electromotive Force(EMF)

The Induced Electromotive Force (EMF) is a fundamental concept in electromagnetism that explains how electrical energy can be generated without direct contact between a power source and a conductor. Induced EMF occurs when a conductor experiences a change in magnetic flux, causing an electric potential difference to develop across it.

This principle, discovered by Michael Faraday, forms the basis of many modern technologies, including electric generators, transformers, and induction motors. Understanding induced electromotive force is essential for students and enthusiasts of physics, as it reveals how magnetic fields and electricity interact to power countless devices in our daily lives. In this article, we will explore the meaning of induced EMF, the factors that affect it, and its practical applications in science and engineering

Through careful experiments, Scientist Michael Faraday discovered that a wire capable of conducting electric current produces some current when it is made to move through magnetic field.

Experiments on electromagnetic induction

Consider the following diagram below

production of an e.m.f by moving a conductor across the magnetic fields

G stands for the galvanometer.

The galvanometer is connected to a copper cable which can be moved up and down between the two poles of the u-shaped magnet in arrangement similar to the following.

conductor moving inside the magnetic field to show the induced electromotive force (EMF)

After the setup, one can do the following to the copper rod XY so as to investigate inducement of current.

Move it vertically downwards between the poles of the magnet
Move it vertically upwards between the poles of the magnet
Hold it stationary between the poles of the magnet
Move it parallel to the direction of the magnetic field
Move it to cut the magnetic field at various angles like 45^o,90^o,6⁰, etc.
Hold the wire stationary and move the magnet upwards and downwards

here is an animation to show the lab activities:

Speed Angle

EMF: 0.00 V

Current: None

Likely observations

When the wire is moved up, the galvanometer deflects in one direction and when the wire is moved downwards the galvanometer deflects to the opposite direction

When moved horizontally or held in a fixed position there is no deflection in the galvanometer.

The magnitude of the induced current increases with the angle at which the conductor cuts the magnetic field and maximum current is observed when angle is about 90^o and current is zero when conductor moves parallel to the magnetic field.

This shows that e.m.f is induced due to the relative motion of the wire or the magnet.

Investigating EMF using a coil

A coil of wire, galvanometer and a magnet are set as shown.

A movement of the pointer on the galvanometer is observed due to the following:

When the magnet is moved towards the coil at a steady speed
magnet moved from the coil at a steady speed
magnet is held stationary in the coil
The coil is moved towards and from the magnet

Observations

Current: None

The pointer on the galvanometer deflects in one direction when the magnet is moved towards the coil and in the opposite direction when magnet is moved away from the coil.

The galvanometer deflects in one direction when coil is moved towards a stationary magnet and to the opposite direction when moved away from the stationary magnet.

When there is no relative motion between the coil and the magnet, no deflection is observed.

Explanations

The magnetic fields exerts force on electrons in a conductor when there is relative motion between the conductor and the magnetic field causing them to flow in the conductor.The movement of electrons causes convection current whose direction can be determined using Fleming’s Left-hand rule.

Electrons entering a magnetic field are usually deviated as shown in figure below due to force from the magnetic field.

force on electrons in electromagnetic induction

Consider a section of conductor XY cutting a magnetic field as shown in figure below.

From the Fleming’s left-hand rule, it can be determined that the electrons in the conductor experiences a force that pushes them from X to Y causing conventional current to flow in direction YX.

From the above illustrations and from lab experiments, we conclude that; whenever there is a relative motion between a magnetic field and a conductor capable of carrying current, an induced current flows in the conductor as a result of an induced e.m.f in that conductor

Definition: Electromagnetic Induction is the process whereby a current is induced inside a current carrying conductor due to changing magnetic flux with the conductor.

Revision questions

Electromagnetic Induction Quiz

LENGTH

length is the distance between two fixed points. length is a one dimension quantity. The SI unit for length is the meter (m).
Other units of length are indicated in the table below.

UNIT	SYMBOL	EQUIVALENCE IN METERS
Kilometer	Km	1000
Hectometer	Hm	100
Decameter	Dm	10
decimeter	dm	0.1
centimeter	cm	0.01
millimeter	mm	0.001
micrometer	μm	0.000001

table of length prefixes

MEASUREMENT OF LENGTH
Length can be estimated or measured accurately using appropriate measuring instrument. The type of instrument to be used at any time depends on two factors:

The size of the object to be measured
The desired accuracy
The methods used include;
a) Approximation/ Estimation
b) Accurate measuring using standard instruments

Estimation of length

This method involves comparing the object to be measured with length of another object that has a known length. For example, the height of a tall flag post can be compared with that of a wooden rod whose length is known.

Estimations can be done by comparing the sizes of objects directly or sometimes it is better to compare length of an object with that of a chosen basic length called a standard length.

consider a straight rod of length two metres in length. The rod can be used to estimate height of a tree nearby because the length of their shadows is proportional to their length height. So we can measure length of the shadow caste by the rod and the one caste by the tree. Note that it can be difficult to measure the actual height of the tree using measuring instruments, but by comparing it with that of a straight rod whose height is known, will give quite an accurate approximation of the tree height.

a straight rod caste shadow — a sun ray relationship with shadow

The following formula is be applied to applied to determine the height of a tree using a straight rod:

Suppose there is a tree whose shadow is measured with a measuring tape at 4.00 pm and its shadow is found to be 36.46m. Let us take the length of the shadow caste by our straight rod of 2m to be 6.42m. The height of the tree can then be calculated as below.

Example Question

In estimating the height of a tree, the following measurements were recorded:
Height of the rod = 180cm.
Length of the shadow of the rod = 116cm
Length of the shadow of the tree = 420cm
Calculate the height of the tree.

Answer

Converting Kilometers to miles

1 kilometer (km) = 0.621371192 miles (mi).

To convert kilometers to miles,we multiply the number of kilometers by the conversion factor (0.621371192) to get the equivalent distance in miles. For example, if you have 10 kilometers and you want to convert it to miles, for example:

20 km × 0.621371192 miles/km = 12.42742384 miles

So, 20 kilometers is approximately equal to 12.42 miles.

Converting centimeter to Inches

The conversion factor between centimeters and inches can be found from the relationship:

1 centimeter (cm) = 0.393701 inches (in)

To convert centimeters to inches, you multiply the number of centimeters by the conversion factor (0.393701) to get the equivalent length in inches. For example, if you have 50 centimeters and you want to convert it to inches:

50 cm × 0.393701 in/cm ≈ 19.68505 inches

So, 50 centimeters is approximately equal to 19.68 inches.

Converting inches to feet

There are 12 inches in a foot. So, to convert inches to feet, you divide the number of inches by 12. For example, if you have 36 inches and you want to convert it to feet:

36 inches ÷ 12=3 feet

So, 36 inches is equal to 3 feet.

24 inches ÷ 12=2 feet

So, 24 inches is equal to 2 feet.

Questions for practice

Click to find examination questions about measuring of lengths

Related pages

January 16, 2021

Category: Physics

Summary

Introduction

Relationship between volume and height a liquid

Apparatus

procedure

Measuring flasks

pipettes

Burettes

Beaker

How to use a measuring cylinder and beaker

Conclusion

Related posts

Cube

cuboid

Cylinder

Sphere

Cone

Prisms

Volume of a Hexagonal prism

Related posts

Example

Solution

Example

Solution

practice Questions

Related posts

Practice Question

Related pages

solution

Example

solution

Related pages

Practice Question

Answer to practice question

Practice Exercise

Related links

How to read a ruler

Errors associated with measuring with a ruler includes:

Related Topics

Isaac Newton’s Quick Information

Some few important facts about Isaac Newton:

Isaac Newton’s Age

Early Life

Isaac Newton’s Education

Newton’s Family

Newtons wife

Newton’s contribution to science

Final analysis

Related Pages

Experiments on electromagnetic induction

Likely observations

Investigating EMF using a coil

Observations

Explanations

Revision questions

Related Topics

Estimation of length

Example Question

Answer

Converting Kilometers to miles

Converting centimeter to Inches

Converting inches to feet

Related pages