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]

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Solution

Concept: 1 Mark
Application: 1 Mark

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

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

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

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

$= 547$

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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]

Concept: 1 Mark Application: 1 Mark The difference in volume : =143−133 [x3−y3=(x−y)3+3xy(x−y)] =(14−13)3+3×14×13(14−13) =1+3×14×13(1) =547

Concept: 1 Mark
Application: 1 Mark

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

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

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

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

$= 547$