Question

Find the volume of the solid given below.

• A. 179 cubic feet
• B. 203 cubic feet
• C. 189 cubic feet
• D. 190 cubic feet

Answer 1

The correct option is C 189 cubic feet

The solid is made up of two cubes, one with the side 4 ft, another with the side 5 ft.

$\therefore$ Total volume of the solid = Sum of volumes of both the cubes


Volume of a cube
= Length $\times$ Width $\times$ Height

For a cube: length = width = height

Volume of cube with length 4 ft
= 4 $\times$ 4 $\times$ 4
= 64 cubic feet

Volume of cube with height 5 ft
= 5 $\times$ 5 $\times$ 5
= 125 cubic feet

Total volume = 64 + 125
= 189 cubic feet