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Problem-Solving and Data Analysis Difficulty: Hard

The density of a certain solid substance is $813$ kilograms per cubic meter. A sample of this substance is in the shape of a cube, where each edge has a length of $0.60$ meters. To the nearest whole number, what is the mass, in kilograms, of this sample?

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Explanation

Choice A is correct. It's given that the sample is in the shape of a cube with edge lengths of $0.60$ meters. Therefore, the volume of the sample is $0.60 cubed$ , or $0.216$ , cubic meters. It's also given that the sample has a density of $813$ kilograms per $1$ cubic meter. Therefore, the mass of this sample is $left parenthesis 0.216 cubic meters right parenthesis left parenthesis StartFraction 813 kilograms Over 1 cubic meter EndFraction right parenthesis$ , or $175.608$ kilograms. Rounding this mass to the nearest whole number gives $176$ kilograms. Therefore, to the nearest whole number, the mass, in kilograms, of this sample is $176$ .

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.