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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