Question

How does the volume of the prism compare to the volume of the pyramid?

(1 point)
• The volume of the prism is three times as large as the volume of the pyramid.
• The volume of the pyramid is three times as large as the volume of the prism.
• The volume of the prism is - the size of the pyramid.
• The volume of the prism is the same as the volume of the pyramid.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The volume of the prism is three times as large as the volume of the pyramid.

Answer 2

how do u know?

Answer 3

[AI-generated answer — Bot GPT 3.5]

I know this because the volume of a prism is calculated by multiplying the area of the base by the height, while the volume of a pyramid is calculated by dividing the area of the base by 3 and then multiplying by the height. Since the volume of the prism formula involves multiplication by the base area, it will generally result in a larger volume than the volume of the pyramid when comparing two similar shapes.