Question

.Find the edge of the cube whose volume is 216 cu cm. ​

Answer 1

Answer:

volume = a^3

so 216 = a^3

3√216 = a

6 = a

so edge of cube = 6cm

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Answer 2

$\bold{\underline{ \overline{ \huge{ \mid{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\bf{Let,} \\ \bf{The \: \: length \: \: of \: \: each \: \: edge \: \: = \: a} \\ \\ \bf{ \underline{Given :- } \: \: \: Volume = 216 \: \: cm{}^{3} } \\ \\ \bf{We \: \: know \: \: that, \: \:In \: \: a \: \: cube} \: \\ \\ \: \: \bf{(Length \: \: of \: \: edge) {}^{3} \: = Volume } \\ \\ \bf{ = > (Length \: \: of \: \: edge) {}^{3} \: = \: 216 } \: \\ \\ \bf{= > Length \: \: of \: \: edge \: = \sqrt[3]{216} } \\ \\ \bf{ \therefore \: \: \: Length \: \: of \: \: edge = \underline{ \: \: 6 \: \: }} \\ \\ \\ \bf {Length \: \: of \: \: edge \: \: of \: \: the \: \: cube = \underline{ \: \: \red{6 \: \: cm }\: \: }}$