The total surface area of a cube is 108 cm2. Find the volume of the cube?
1. 50√2
2. 54√2
3. 48√2
4. 56√2
1. 50√2
2. 54√2
3. 48√2
4. 56√2
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Correct Answer – Option 2 : 54√2
Given:
Total surface area of cube = 108 cm2
Formula used:
TSA of cube = 6a2
Volume of cube = a3
Calculation:
Let, the side of the cube be ‘a’
∵ TSA of cube = 6a2
⇒ 108 cm2 = 6a2
⇒ a2 = 108/6
⇒ a2 = 18 cm2
⇒ a = √18 = 3√2 cm
∴ Volume of cube = a3
= (3√2)3
= 54√2 cm3