Question : What is the volume of a cube whose surface area is 54 cm2?
Option 1: 28 cm3
Option 2: 3 cm3
Option 3: 27 cm3
Option 4: 9 cm3
Correct Answer: 27 cm 3
Solution :
Given,
Surface area of cube = 54 cm
2
Let the length of the sides of the cube be a.
We know that the surface area of a cube = 6a
2
Volume of a cube = a
3
According to the question,
Surface Area = 6a
2
⇒ 54 = 6a
2
⇒ a
2
= 9
⇒ a = $\sqrt{9}$ = 3 cm
Now, the volume of the cube = (3)
3
= 27 cm
3
Hence, the correct answer is 27 cm
3
.
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