Question

The total surface area of a cube is 1350 sq.m.find its volume

Answer 1

Answer:

$\sf\: 3375\: m^3$

Step-by-step explanation:

Given :-

Total surface area of cube = $\sf\: 1350m^2$

To find :-

Volume of cube

Solution :-

Let side of cube be 'a' units

Total surface area of cube = $\sf\: 6a^2$

According to the Problem :-

$\sf{\implies}\: 6a^2 = 1350$

$\sf{\implies}\: a^2 = \dfrac{1350}{6}$

$\sf{\implies}\: a^2 = 225$

$\sf{\implies}\: a = \sqrt{225}$

$\sf{\implies}\: a = 15\:m$

$\rule{300}{1.5}$

Volume of cube = $\sf\: a^3$

= 15 × 15 × 15

$\therefore$$\sf\:Volume\: of \:cube \: = 3375\:m^3$

Answer 2

Answer :

This is Your Answer

Step-by-step explanation:

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