Question

TSA=162m² find the side of a cube​

Answer 1

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$\huge\mathcal\color{violet}Given:$

$Total\: surface\: area \:of \:cube\: = \:{162\:m}^{2}$

$\huge\mathrm\color{orange}FInD:$

$⇒\:\:side\: of\: cube \:of\: cube.$

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⇒TSA of cube = 6L²

$\huge\mathfrak\color{Blue}{\underline{\underline{Explanation:}}}$

$⇒\:TSA\: of \:cube\: = \:{6L}^{2}$

$⇒\:162\: = \:{6L}^{2}$

$⇒\:\frac{162}{6}\: = \: {L}^{2}$

$⇒\:27 \:= \:{L}^{2}$

$⇒\:{L}^{2}\: =\: 27$

$⇒\:L\: =\: \sqrt{27}$

$⇒\:L\: = \: \sqrt{9\:×\:3}$

$⇒\:L\: = \: 3\sqrt{3} \:$

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$\bold\purple{side \:of \:cube\: =\: 3\sqrt{3}\:m}$

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$\huge\mathbb\color{chartreuse}I\:HOPE\:IT\:HELPS\:YOU.$