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

Answer

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

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