Question

Find the volume of the figure.

Answer 1

`\rm 1920cm^3`

Explanation:

The given figure can be divided into two parts . A cuboid of dimensions 8cm * 10cm * 10cm and a cuboid of dimensions 14cm * 8cm * 10cm . The volume of the given solid will be the sum of volumes of two cuboids.

`\rm\implies Cuboid_1 = 10cm * 10cm * 8cm \\\\\rm\implies Cuboid_2 = 14cm * 8cm * 10cm`

As we know that,

`\rm\implies Volume = length * breadth *height`

Hence ,

`\rm\implies Volume = V_(cuboid_1) + V_(cuboid_2) \\\\\rm\implies Volume = 10cm * 10cm * 8cm + 14cm * 8cm * 10cm \\\\\rm\implies Volume = 800cm^3 + 1120cm^3 \\\\\rm\implies \boxed{\pink{\frak{ Volume = 1920cm^3}}}`