Question

A triangular prism is 15.9 feet long. It has a triangular face with a height of 18.9 feet. The volume of the prism is 2, 854. 845 feet. What is the base of the triangular face?

Answer 1

To answer this question we will use the following formula for the volume of a triangular prism:

$V=\frac{1}{2}b\times h\times l,$

where l is the length of the prism, b is the base of the base triangle, and h is the height of the base triangle.

Solving the above equation for b we get:

$b=\frac{2V}{lh}\text{.}$

Substituting V=2,854.845 cubic feet, l=15.9 feet, we get:

$b=\frac{2(2854.845ft^3)}{(15.9\text{ ft)(}18.9\text{ ft)}}.$

Simplifying the above result we get:

$b=19\text{ ft.}$

Answer:

$19\text{ ft.}$