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A granite block in the shape of a right ...

A granite block in the shape of a right rectangular prism has dimensions 30 centimeters by 40 centimeters by 50 centimeters. The block has a density of 2.8 grams per cubic centimeter. What is the mass of the block, in grams? (Density is mass per unit volume.)

A

336

B

3360

C

16800

D

168000

Text Solution

Verified by Experts

The correct Answer is:
D
Since density is mass per unit volume, the mass is the density times volume. The volume of a right rectangular prism is the product of the lengths of the sides. Therefore:
mass = (2.8 grams per cubic centimeter) × (30 centimeters × 40 centimeters × 50 centimeters)
mass = (2.8 grams per cubic centimeter) × (60,000 cubic centimeters) mass = 168,000 grams
Choice A is incorrect and may result from adding, instead of multiplying, the lengths of the sides to find the volume. Choice B is incorrect and may result from the same error as in choice A, as well as a place value error. Choice C is incorrect and may result from a place value error when finding the volume.
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