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If the volume of two cubes are in the ratio 27 : 64, then the ratio of their total surface area is :
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- 27 : 64
- 3 : 4
- 9 : 16
- 3 : 8
- 27 : 64
Correct Option: C
Let the side of the two cubes are x and y.
According to the question
| = | = | , ∴ | = | ||||||
| y³ | 64 | (4)³ | y | 4 |
We know that surface area of the cube = 6 × (side)²
∴ Ratio of their surface areas
| = | = | = | = 9 : 16 | |||
| 6y² | 6 × 4² | 16 |
