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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


Team Careers360 19th Jan, 2024
Answer (1)
Team Careers360 23rd Jan, 2024

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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