Question

The volume of a cube is 343m.sq.Find its surface area
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Answer 1

$\large \green{ \sf \underline{ \underline{ \: Given : \: \: }}}$

Volume of cube = 343 m³

$\large \green{ \sf \underline{ \underline{ \: To \: find : \: \: }}}$

Total surface area of the cube

$\large \green{ \sf \underline{ \underline{ \: Solution : \: \: }}}$

We know that ,

$\sf \pink{ \fbox{Volume \: of \: cube = ( {side)}^{3} }} \\ \\ \sf 343 = ( {side)}^{3} \\ \\ \sf side = \sqrt[3]{343} \\ \\ \sf side = 7 \: \: m$

Thus , the side of the cube is 7 m

Now , the total surface area of the cube is given by :

$\large \sf \fbox{ \fbox{TSA = 6 \times {(side)}^{2} }}$

$\sf = 6 \times {(7)}^{2} \\ \\ \sf = 6 \times 49 \\ \\ \sf = 294 \: \: {m}^{2}$

Thus , the TSA of the cube is 294 m²