The lateral surface area of a cube is 900cm^2. Find its volume. - Vidyadip

Question

The lateral surface area of a cube is $900cm^2$. Find its volume.

✓

Answer

Suppose that the side of cube is $x cm .$
Lateral surface area of the cube $=900 cm^2$
Then $900=4 x ^2$
$\Rightarrow\text{x}^2=\frac{900}{4}=225$
$\Rightarrow\text{x}=\sqrt{225}=15$
i.e., the side of the cube is $15 cm $.
$\therefore$ Volume of the given cube
$=x^3 cm^3=15^3 cm^3=3375 cm^3$

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