The volumes of two cubes are in the ratio 343 : 1331, the ratio of their edges, is

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CT : GK (Ancient History)

10 Questions 10 Marks 6 Mins

Given:

Cubes ratio = 729 ∶ 512

Formula used:

The volume of cubes = a3

The total surface area of the cube = 6a2

Where, a = Side of the cube

Calculation:

Let the side of the cubes are x and y respectively

According to the question,

x3/y3 =  729 ∶ 512

⇒ x/y = 9/8

⇒ x = (9/8)y

The Ratio of total surface area = 6x2 ∶ 6y2

⇒ 6 × (9y/8)2 ∶ 6y2 

⇒ (81/64) ∶ 1

⇒ 81 : 64

∴ The required ratio of the total surface area is  81 : 64.

Last updated on Oct 27, 2022

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Updated On: 27-06-2022

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