Math, asked by srinivas6165, 9 months ago

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

Answers

Answered by BrainlyConqueror0901
2

\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}}

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