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Problem-Solving and Data Analysis / Ratios, rates, proportional relationships, and units Difficulty: Hard

To study fluctuations in composition, samples of pumice were taken from $29$ locations and cut in the shape of a cube. The length of the edge of one of these cubes is $3.000$ centimeters. This cube has a density of $0.230$ grams per cubic centimeter. What is the mass of this cube, in grams?

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Explanation

The correct answer is $6.21$ . It’s given that the samples of pumice were cut in the shape of a cube. It's also given that the length of the edge of one of these cubes is $3.000$ centimeters. Therefore, the volume of this cube is $left parenthesis 3.000 centimeters right parenthesis cubed$ , or $27$ cubic centimeters. Since the density of this cube is $0.230$ grams per cubic centimeter, it follows that the mass of this cube is $left parenthesis StartFraction 0.230 grams Over 1 cubic centimeter EndFraction right parenthesis left parenthesis 27 cubic centimeters right parenthesis$ , or $6.21$ grams.