A teacher gives cubes each of volume 8 cubic centimeters to his students. He then asks his students to divide each side of the cube into half.The new volume of the cube in cubic centimeters.
Correct answer: A. Will be 1
- A. Will be 1
- B. Will be 2
- C. Will be 4
- D. Cannot be determined
Explanation
The original cube has a volume of 8 cubic centimeters. Since the volume (V) of a cube is given by V = side^3, each side of the original cube is 2 cm long (since 2^3 = 8). When each side is divided into half, the new side length is 1 cm. The volume of the cube with the new side length is calculated as 1 cm × 1 cm × 1 cm = 1 cubic centimeter. Therefore, Option A is correct. Options B and C are incorrect because they result from incorrect calculations of the volume. Option D is incorrect because the volume can be clearly determined using the given information.
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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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