Target Exam

CUET

Subject

General Aptitude 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 :

Options:

4 : 3 

64 : 27

12 : 15

16 : 9

Correct Answer:

16 : 9

Explanation:

Ratio of volume of cubes = (edge1)³ : (edge2)³ = 64 : 27 

Ratio of radii = \(\sqrt[3]{64}\) : \(\sqrt[3]{27}\) = 4 : 3

Ratio of surface area = 6(edge1)² : 6(edge2)² = (4)² : (3)² = 16 : 9