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Volume and Surface Area — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsVolume and Surface Area3 Marks
Question
The lateral surface area of a cube is 900cm2. Find its volume.
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Answer

Suppose that the side of cube is x cm.
Lateral surface area of the cube = 900cm2
Then 900 = 4x2
$\Rightarrow\text{x}^2=\frac{900}{4}=225$
$\Rightarrow\text{x}=\sqrt{225}=15$
i.e., the side of the cube is 15cm.
$\therefore$ Volume of the given cube = x3cm3= 153cm3 = 3375cm3

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