A sample of oak has a density of 807 kilograms per cubic meter. The sample is in the shape of a cube, where each edge has a length of 0.90 meters. To the nearest whole number, what is the mass, in kilograms, of this sample?
Correct answer: A. 588
- A. 588
- B. 726
- C. 897
- D. 1,107
Explanation
To find the mass of the cube, calculate the volume first by cubing the edge length to get 0.729 cubic meters. Then, multiply this volume by the density of 807 kilograms per cubic meter to obtain a mass of 588.303 kilograms. Rounding this to the nearest whole number gives 588 kilograms, making Option A the correct answer. The incorrect options stem from errors such as inaccurate volume calculation, incorrect multiplication, or improper rounding.
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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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