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Volume and Surface Area of Solids — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsVolume and Surface Area of Solids3 Marks
Question
Find the volume of a cube whose total surface area is $384 cm^2$.
✓

Answer

Total surface area $=6 a ^2$
$\Rightarrow6\text{a}^2=384$
$\Rightarrow\text{a}=\sqrt{\frac{384}{6}}=8\text{cm}$
$\therefore$ Volume $=\text{a}^2=512\text{cm}^3$

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