Question

The side length of Ram's room which is in the shape of a cube is 14 foot, while that of Vijay's is 13 foot. Find the difference in volume of their rooms. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

The difference in volume :
$={14}^3-{13}^3$

$[x^3-y^3=(x-y{)}^3+3xy(x-y)]$

$=(14-13{)}^3+3\times 14\times 13(14-13)$

$=1+3\times 14\times 13\left(1\right)$

$=547$