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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