The ratio of the total surface areas of

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 3D

Question:

The ratio of the total surface areas of two cubes is 49 : 81. What is the ratio of their volumes?

Options:

343 : 729

284 : 486

7 : 9

49 : 121

Correct Answer:

343 : 729

Explanation:

The ratio of the total surface areas of two cubes = 49 : 81

Then the ratio of their sides = \(\sqrt {49}\) : \(\sqrt {81}\) = 7 : 9

Now, the ratio of their volume = 7² : 9²= 343 : 729