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3.1 Ratios, Rates, and Proportional Relationships - Word problems with proportional reasoning
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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? 

A.

588

B.

726

C.

897

D.

1,107

A sample of oak has a density of 807 kilograms per cubic meter. The sample is

Hard-difficulty · SAT Math · Ratios, Rates, and Proportional Relationships — Word problems with proportional reasoning. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice A is correct. It’s given that the sample is in the shape of a cube with edge lengths of 0.9 meters. Therefore, the volume of the sample is 0.903, or 0.729 , cubic meters. It’s also given that the sample has a density of 807 kilograms per 1 cubic meter. Therefore, the mass of this sample is 0.729 cubic meters807 kilograms1 cubic meter, or 588.303 kilograms. Rounding this mass to the nearest whole number gives 588 kilograms. Therefore, to the nearest whole number, the mass, in kilograms, of this sample is 588 .

Choice B is incorrect and may result from conceptual or calculation errors.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.