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,the surface area of a cube is 864cm* *__ ___{, } find the area of its base.

_{, }$\mathrm{Surface}\mathrm{area}\mathrm{of}\mathrm{cube}=6{\mathrm{a}}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow 864=6{\mathrm{a}}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow 144={\mathrm{a}}^{2}\phantom{\rule{0ex}{0ex}}\Rightarrow \mathrm{a}=12\mathrm{cm}\phantom{\rule{0ex}{0ex}}\mathrm{We}\mathrm{know}\mathrm{that}\mathrm{area}\mathrm{of}\mathrm{the}\mathrm{base}\mathrm{of}\mathrm{the}\mathrm{cube}={\mathrm{a}}^{2}\phantom{\rule{0ex}{0ex}}={12}^{2}=144{\mathrm{cm}}^{2}$

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