If the ratio between the length of sides of two cubes is 3 : 5, then the ration between their volumes will be
Correct answer: D. 27: 125
- A. 9: 25
- B. 18: 50
- C. 27: 75
- D. 27: 125
Explanation
The volume of a cube is determined by cubing the length of its side. Therefore, if the ratio of the lengths of the sides of two cubes is 3:5, the ratio of their volumes will be the cube of these side lengths. Calculating the cube of each gives us 3^3 = 27 and 5^3 = 125. Thus, the ratio of the volumes is 27:125.Option A (9:25) is incorrect because it implies squaring the side lengths rather than cubing them. Option B (18:50) arises from an incorrect calculation and does not follow from cubing the side lengths. Option C (27:75) is incorrect because the second value should be 125, not 75, when cubing 5.
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