Question

40.The volume of a cube whose total
surface area is 486 Square cm is
216 cm3
O 512 cm3
3
O
729 cm3
O
1728 cm3​

Answer 1

Step-by-step explanation:

total surface area of cube = 486

volume of cube = 729

Answer 2

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$\tt{ \orange{ \underline{ \underline{Given}}}} : - \\ \bf{The \: T.S.A.\: of \:cube = 486 \: {cm}^{2} } \\ \bf{ \longrightarrow\: {6l}^{2} = 486} \\ \bf{ \longrightarrow \: {l}^{2} = \dfrac{{ \cancel{486}}}{ \cancel6} } \\ \bf{ \longrightarrow \: l = \sqrt{81} } \\ \bf{ \longrightarrow \: l = 9} \\ \red{ \tt{ \therefore l = 9 \:cm}} \\ \\ \bf{ \therefore Volume \: of \: cube} \\ = \bf ({{l}^{3} )\: {unit}^{3} } \\ = \bf{( {9}^{3} )} \: {cm}^{3} \\ = \blue{\boxed {\mathfrak{729 \: {cm}^{3} } }}$