Question

Nexus made a hole of dimensions
2 cm $\times$ 3 cm $\times$ 6 cm through a cube of side 6 cm. Calculate the volume of the remaining cube.

• A. 190 cubic cm
• B. 170 cubic cm
• C. 180 cubic cm
• D. 188 cubic cm

Answer 1

The correct option is C 180 cubic cm

Remaining volume = Volume of the cube - Volume removed by making hole

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

For a cube: length = width = height

Volume of the cube
= 6 $\times$ 6 $\times$ 6 = 216 cubic cm

Volume of the cuboid
= Length $\times$ Width $\times$ Height
= 2 $\times$ 3 $\times$ 6
= 36 cubic cm

Volume remaining = 216 - 36
= 180 cubic cm