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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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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