Question

How can a triangular prism have a greater volume than a rectangular prism?

Answer 1

Explanation:

Assume that the two prisms have bases of equal area.

Then the volume of the rectangular prism is V = (base area)(height).

The volume of the triangular prism is V = (1/3)(base area)(height)

We could compare the two volumes by creating the ratio inequality

(1/3) (base area)(t-height)

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(base area)(r-height)

The triangular prism will have the greater volume for (1/3)((t-height) > r-height.