SSC CPO 2022 PYQ — Question 104

SSC CPO - 9 Nov 2022 - Shift 1 • Quantitative Aptitude • Q104

What is the volume of a cube whose surface area is 54 cm2?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 27 cm3.

Given that

The surface area of a cube = 54 cm2

Formula used

The surface area of a cube = 6 × side2

The volume of a cube = side3

Calculation

⇒ 6 × side2 = 54

⇒ side2 = 54/6 = 9

⇒ side = 3 cm

Hence, the volume of the cube = 33 = 27 cm3