Question

Out of a cube of length 7 cm, a cubical piece with width 3 cm is removed. Calculate the volume of the remaining solid.

• A. 300 cubic cm
• B. 316 cubic cm
• C. 216 cubic cm
• D. 320 cubic cm

Answer 1

The correct option is B 316 cubic cm

Volume of remaining solid = Volume of bigger cube - Volume of cube removed

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

For a cube: length = width = height

Volume of bigger cube with length 7 cm
= 7 $\times$ 7 $\times$ 7
= 343 cubic cm

Volume of cube with length 3 cm
= 3 $\times$ 3 $\times$ 3
= 27 cubic cm

Volume of the solid = 343 - 27
= 316 cubic cm