# Solve the question with solution as quick as possible.

$\mathrm{Let}\mathrm{the}\mathrm{lengt}h\mathrm{of}\mathrm{each}\mathrm{side}\mathrm{of}\mathrm{the}\mathrm{cube}=\mathrm{s}\phantom{\rule{0ex}{0ex}}\mathrm{Area}\mathrm{of}\mathrm{one}\mathrm{square}\mathrm{face}=64{\mathrm{m}}^{2}\phantom{\rule{0ex}{0ex}}\mathrm{so},{\mathrm{s}}^{2}=64\phantom{\rule{0ex}{0ex}}\Rightarrow \mathrm{s}=\sqrt{64}=8\mathrm{m}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\mathrm{Now},\mathrm{volume}\mathrm{of}\mathrm{the}\mathrm{cube}={\mathrm{s}}^{3}={8}^{3}=512{\mathrm{m}}^{3}$

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