Question

Find the volume of the figure. $\left(\mathrm{in}{\mathrm{inch}}^3\right).$

Answer 1

The volume of the figure can be calculated by dividing it into smaller cuboids.

Volume of a cuboid of length $l,$ breadth $b$ and height $h$ is given by

$V=l\times b\times h.$

Volume of cuboid 1 $=2\text{inch}\times 6\text{inch}\times 5\text{inch}=60{\text{inch}}^3$

Volume of cuboid 2 $=5\text{inch}\times 8\text{inch}\times 1\text{inch}=40{\text{inch}}^3$

Volume of composite figure $=60{\text{inch}}^3+40{\text{inch}}^3=100{\text{inch}}^3$