Question

The total surface area of a cube is 322/ 3 m 3 . Find the volume of the cube.

Answer 1

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The total surface area of a cube is 322/ 3 m 3 . Find the volume of the cube.

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$\huge\mathfrak\orange{Ans}\purple{wer}\red {♡♡♡}$

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$\bf\purple{\implies\:total\:surface\:area\:of\:cube\:}$

$= 32 \times \frac{ 2}{3} \\ = \frac{32 \times 3 + 2}{3}$

$\bf\purple{\implies\:total\:surface\:area\:of\:cube\:}$

$= {6a}^{2}$

$where \: a \: = side \: of \: cube$

${6a}^{2} = \frac{98}{3}$

${a}^{2} = \frac{98}{3 \times 6}$

${a}^{2} = \frac{49}{3 \times 3}$

${a}^{2} = \frac{49}{9}$

$= \frac{7}{3} m$

$\bf\purple{\implies\:volume\:of\:cube\:=\:a³\:}$

$= ( \frac{7}{3} )cube$

$= \frac{343}{27} metre \: cube$