Question

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

Answer 1

Side of solid cube $=6$ feet
Side of a square hole $=2$ feet

$\therefore$ Volume of the cube $=(\text{sides}{)}^3=(6{)}^3$
$=216$ cubic feet
$=6\times 2\times 2$
$=24$ cubic feet

$\therefore$ Volume of the remaining solid
= Volume of solid cube - volume of hole
$=216-24$
$=192$ cubic feet
Thus, the required volume is $192$ cubic feet.