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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
The surface area of a cube is $1176 cm^2$. Find its volume.
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Answer

Surface area of a cube $=1126 cm^2$
Let edge of the cube $=a$
Then $6 a^2=1176 \Rightarrow a^2=\frac{1176}{6}=196$
$\Rightarrow a^2=(14)^2 \Rightarrow a=14 cm .$
$\therefore$ Volume of cube $= a ^3=(14)^3 cm^3$
$=14 \times 14 \times 14 cm^3=2744 cm^3$

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