Question

Find the volume of a cube whose total surface area is 486 sq m

Answer 1

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Answer 2

$\boxed{\boxed{\boxed{\bold{\blue{Solution :\longrightarrow}}}}}$

Let the length of each edge of the cube be a cm.

$\bold{T.S.A \: \: of \: \: the \: \: cube = 486 \: {cm}^{2} }\\ \\ \bold{= > 6 {a}^{2} = 486} \\ \\ \bold{= > {a}^{2} = \frac{486}{6}} \\ \\ \bold{= > {a}^{2} = 81 }\\ \\ \bold{= > a = \sqrt{81}} \\ \\ \bold{= > a = 9}$

•°• The length of each edge of the cube is 9 cm.

$\bold{Hence, \: \: Volume \: \: of \: \: the \: \: cube} \\ \\ \bold{= {a}^{3}} \\ \\ \bold{= (9 \times 9 \times 9) \: {cm}^{3}} \\ \\ \bold{= 729 \: {cm}^{3} }$