How does the volume of the prism change if the length of each side is tripled? Answer options with 4 options A. The new volume is three times the old volume. B. The new volume is six times the old volume. C. The new volume is nine times the old volume. D. The new volume is twenty-seven times the old volume.
Question
How does the volume of the prism change if the length of each side is tripled?
Answer options with 4 options A. The new volume is three times the old volume.
B. The new volume is six times the old volume.
C. The new volume is nine times the old volume.
D. The new volume is twenty-seven times the old volume.
Solution
The volume of a prism is calculated by the formula: Volume = length * width * height. If the length of each side is tripled, the new volume would be (3length) * (3width) * (3*height) = 27 * (length * width * height). Therefore, the new volume is twenty-seven times the old volume. So, the correct answer is:
D. The new volume is twenty-seven times the old volume.
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