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.)
Correct answer: D. 168,000
- A. 336
- B. 3,360
- C. 16,800
- D. 168,000
Explanation
Choice D is correct. 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
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