Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

If the ratio of volume of two cubes is 64 : 27, then find the ratio of their surface areas is:

Options:

4 : 3

12 : 15

16 : 9

64 : 27

Correct Answer:

16 : 9

Explanation:

Ratio of volumes  = 64 : 27

Ratio of edges  = \(\sqrt[3]{64 }\) : \(\sqrt[3]{27 }\)

                        = 4 : 3

Ratio of surface areas =  6(4)2 : 6 (3)2

                                   = 16 : 9