Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

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

Options:

28 cm3

3 cm3

27 cm3

9 cm3

Correct Answer:

27 cm3

Explanation:

We know that,

Surface area of cube = 6a2 

Volume of cube = a

We have,

Surface area of cube = 54 cm2 

Now,

Surface Area =

= 54 = 6a2 

= a2 = 546

= a2 = 9

= a = 3 cm

Now volume of cube = (3)3 = 27 cm3