Question

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What happens to the volume of a square pyramid if the base dimensions remain the same, but the height is cut to one third of the original?


The volume becomes 1/9 of original.

The volume becomes 1/3 of original.

The volume becomes 3 times larger than original.

The volume becomes 9 times larger than original

Answer 1

The volume of a square pyramid is
V = (1/3)Ah
where A = area of base and h = height

For a pyramid with base area A and height h, V = (1/3)Ah
If you now substitute h with h/3, you get V = (1/3)(Ah/3) = (1/9)Ah

(1/9)Ah is one-third of (1/3)Ah

Answer 2

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Answer 3

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