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Different Shapes and Sizes Can Also Have the Same Volume

Rohan has 4 cubes each of side 1 cm. The volume of each cube is 1 cubic cm.

Rohan makes the following shapes using 4 cubes.

Since each of them is made up of 4 unit cubes, the volume of each shape is 4 cubic cm.

Example: Find the volume of the given solids which are made up of cubes of side 1 cm.
(a) (b) (c)

Solution: (a) The given solid shape is made up of 8 unit cubes of 1 cm.

So, the volume of the solid shape is 8 cu cm.

(b) The given solid shape is made up of 15 unit cubes of 1 cm.
So, the volume of solid shape is 15 cu cm.

(c) The given solid shape is made up of 8 unit cubes of 1 cm.
So, the volume of solid shape is 8 cu cm.

Think and Answer

Measure the dimensions of your and your friend’s lunch box. Which box is bigger in size?

VOLUME OF A CUBOID

Look at the cuboid shown here. It is 4 cm long, 2 cm wide and 3 cm high.

The cuboid is divided into 24 unit cubes of side 1 cm each.
So, the volume of the cuboid = 24 cu cm

If we find the product of its dimensions of length, breadth and 3 cm
height, we get

4 cm × 2 cm × 3 cm = 24 cu cm 4 cm 2 cm
The product is same as the volume of the cuboid.

Thus, volume of a cuboid (V) = Length (I) × Breadth (b) × Height (h) cubic units

Example 1: The length, breadth and height of a cuboidal box is 15 m, 10 m and 5 m. Find

its volume.
Solution: Volume of cuboid = l × b × h 5 m

= 15 m × 10 m × 5 m
= 750 cu. m 15 m 10 m

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