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Ratios, rates, proportional relationships, and units SAT question

Math · Problem-Solving and Data Analysis · Hard · Answer it here, explanation included.

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?

ExplanationShow

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 $0.90^{3}$ , 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 $0.729 cubic meters (\frac{807 kilograms}{1 cubic meter})$ , 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.

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