The height of a pyramid is doubled, but its length and width are cut in half. What is true about the volume of the new pyramid?
Answer
A
The new pyramid has a volume that is 1 fourth the volume of the original pyramid.
B
The new pyramid has a volume that is 2 times the volume of the original pyramid.
C
The new pyramid has the same volume as the volume of the original pyramid.
D
The new pyramid has a volume that is 1 half the volume of the original pyramid.
Explanation
A pyramid’s volume is one-third its length times its width times its height. The new dimensions change the volume by a factor of 1/2 × 1/2 × 2 = 1/2. So the new pyramid has half the original volume, which is choice D.
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