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.

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:

  1. mm3
  2. cm3
  3. µm3

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