Question

This graph relates the volumes of triangular pyramids with a base area of 12 square inches and their heights.

According to the graph, what is the volume of a triangular prism with a base area of 12 square inches and a height of 10 inches?

Answer 1

`V=40\ in^3`

Explanation:

The graph is not attached, however we know that, the volume of a triangular pyramid is given by the formula

`V=(1)/(3)Bh`

where

B is the area of the triangular face

h is the height of the pyramid

we have

`B=12\ in^2\\h=10\ in`

substitute the given values

`V=(1)/(3)(12)(10)=40\ in^3`