The lateral surface area of a cube is 900 cm2.

Question:

The lateral surface area of a cube is 900 cm2. Find its volume.

Solution:

Suppose that the side of cube is x cm.
Lateral surface area of the cube = 900 cm2.

Then $900=4 x^{2}$

$\Rightarrow x^{2}=\frac{900}{4}=225$

$\Rightarrow x=\sqrt{225}=15$

i.e., the side of the cube is 15 cm.

$\therefore$ Volume of the given cube $=x^{3} \mathrm{~cm}^{3}=15^{3} \mathrm{~cm}^{3}=3375 \mathrm{~cm}^{3}$

 

 

 

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