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Volume of a cube

Suman made a ...

Question

Suman made a cardboard box in the form of cube without a lid. If the total surface area of the box was 180 sq. cm, what are the dimensions of the box?

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Solution

Total Surface of a cube without lid $= 5 a^{2} = 180 s q . c m$
$\Rightarrow a^{2} = \frac{180}{5} = 36 s q . c m$
$\Rightarrow s i d e = 6 c m$
$∴$ Dimension of the box $= 6 \times 6 \times 6$

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