Mensuration

Area of Triangle

Consider a container, which is cylindrical in shape. Let us consider that 10 litres of milk can be stored in this container.

If the container is half-filled with milk, can we find the quantity of milk in the container?

Yes, we can find it. When the container is half-filled with milk, then the quantity of milk in the container is 5 litres.

Here, the quantity of milk in the container is the volume of the milk which is 5 litres.

And the container can store a maximum of 10 litres of milk, which is the capacity of the container.

If the container is completely filled with milk, then

Capacity of container = volume of milk = 10 litres

Thus we can say that,

“Volume is the amount of space occupied by an object, while capacity refers to the quantity that a container holds".

The units of volume of solid material are cm3, m3, dm3 etc and the unit of volume of liquid and capacity is litre.

Let us discuss some examples based on volume and capacity.

Example 1:

A cubical container has each side measuring 20 cm. The container is half-filled with water. Metal stones are dropped in the container till the water comes up to the brim. Each stone is of volume 10 cm3. Calculate the number of stones and the capacity of the container.

Solution:

We know that volume of cube = (side) 3

∴ Volume of cu…