Question

The total surface area of a cube is 1350sq.m.Find it's volume.

Answer 1

$\huge\mathbb{SOLUTION:-}$

$\bf\underline{\blue{\:\:\:\:\:\:\:\: Given:-\:\:\:\:\:\:\:}}$

$\sf\bullet T.S.A\:of\:cube=1350m{}^{2}$

• we have to find the Volume of cube

First find the side of cube

$\boxed{\sf{T.S.A\:of\:cube=6a{}^{2}}}$

$\bf\underline{\red{\:\:\:\:\:\:\:\:A.T.Q:-\:\:\:\:\:\:\:}}$

$\sf\implies 6a{}^{2}=1350\\ \\ \sf\implies a{}^{2}=\cancel{\dfrac{1350}{6}}\\ \\ \sf\implies a{}^{2}=225\\ \\ \sf\implies a=\sqrt{225}\\ \\ \sf\implies a=15m$

Now the volume of cube

$\boxed{\sf{Volume\:of\:cube=side {}^{3}}}$

$\sf\implies Volume=15\times 15\times 15\\ \\ \sf\implies Volume =3375m{}^{3}$

$\underline{\sf{\dag{\:\:Volume\:of\:cube=3375m{}^{3}}}}$

Answer 2

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$\boxed{Explained\:Answer}$

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