Bob R.

asked • 04/27/20

The volume of the new triangular pyramid is twice the volume of the original triangular pyramid. How did the dimensions change?

The length of the base was doubled


The length and the width of the base were doubled


The length of the base and the height of the pyramid were doubled


All 3 dimensions were doubled


David W.

tutor
Triangular prisms don't have a length and width of the base, but your answer should be the first option. Since we're multiplying a bunch of stuff together, if you double two things, your volume quadruples. If you double three things, your volume is 8 times greater.
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04/27/20

1 Expert Answer

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Nitin P. answered • 04/28/20

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Machine Learning Engineer - UC Berkeley CS+Math Grad

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The volume of a triangular pyramid is


V = (1/3)Ah


where A is the area of the base and h is the height of the pyramid. From this formula, we can see that the first choice is the only correct answer. Doubling the length of the base will double the area of the base, and in turn the volume of the pyramid. However, if we double both the length and width, we multiply the area of the base by 4, and if we double all three dimensions, then we multiply the volume of the pyramid by 23 = 8.

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