Question

From a solid cube of side 6 feet, a square hole of side 2 feet is punched through between a pair of opposite faces. The volume of the remaining solid in cubic feet is _________.

Answer 1

When a square hole of side 2 feet is punched through between a pair of opposite faces of a cube of side 6 feet, then the empty space (or hole) so formed in the cube is in the form of a cuboid. The length, breadth and height of the hole are 6 feet, 2 feet and 2 feet, respectively.

Now,

Volume of the cube = (Side)³ = (6)³ = 216 cubic feet

Volume of the hole = Length × Breadth × Height = 6 × 2 × 2 = 24 cubic feet

∴ Volume of the remaining solid

= Volume of the solid cube − Volume of the hole

= 216 − 24

= 192 cubic feet

Thus, the volume of the remaining solid is 192 cubic feet.

From a solid cube of side 6 feet, a square hole of side 2 feet is punched through between a pair of opposite faces. The volume of the remaining solid in cubic feet is ___192___.