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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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