Question

Volume of a cube is 3375cubic cm find total surface area

Answer 1

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\tt{\therefore{T.S.A\:of\:cube=1350\:cm^{3}}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

$\green{\underline \bold{Given :}} \\ \tt: \implies Volume \: of \: cube = 3375 \: {cm}^{3} \\ \\ \red{\underline \bold{To \: Find :}} \\ \tt: \implies T.S.A \: of \: cube = ?$

• According to given question :

$\bold{As \: we \: know \: that} \\ \tt: \implies Volume \: of \: cube = {a}^{3} \\ \\ \tt: \implies 3375 = {a}^{3} \\ \\ \tt: \implies a = \sqrt[3]{3375} \\ \\ \green{\tt: \implies a = 15 \: cm} \\ \\ \bold{As \: we \: know \: that} \\ \tt: \implies T.S.A \: of \: cube = 6 {a}^{2} \\ \\ \tt: \implies T.S.A \: of \: cube =6 \times {15}^{2} \\ \\ \tt: \implies T.S.A \: of \: cube =6 \times 225 \\ \\ \green{\tt: \implies T.S.A\: of \: cube =1350 \: {cm}^{2}}$