What will be the Ratio of Their Surface Areas? If

The ratio of volumes of two cubes is 8 : 125. The ratio of their surface areas is

  1. 4 : 25
  2. 2 : 75
  3. 2 : 15
  4. 4 : 15
kishan Default Asked on 22nd July 2015 in Maths.
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1 Answer(s)

Answer: (1) 4 : 25
Explanation:-
The ratio of volumes of two cubes = 8 : 125.
Formula-
The volume of the cube = a3
Where, a – side of a cube.
Then, a13/a23 = 8/125
Cube root of both side,
a1/a2 = 2/5
Thus, ratio of side = 2 : 5
Formula-
The surface area of a cube = 6 a2
Then, the ratio of their surface area = 6 (2)2/6 (5)2
= 4/25
Hence, the answer is (1) 4 : 25.

Anurag Mishra Professor Answered on 22nd July 2015.
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