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