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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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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