Find the volume of a triangular prism where the base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.

Given:

The base length is 6 ft, the base height is 5 ft, and the prism height is 7 ft.

To find:

The volume of the triangular prism.

Solution:

Base of a triangular prism is a triangle with base length 6ft and height 5 ft.

Area of a triangle is

So, the area of the base is

Now, the volume of a triangular prism is

Where, B is the base area and h is the height of the prism.

Putting B=15 and h=7, we get

Therefore, the volume of the triangular prism is 105 cubic ft.

-13

step-by-step explanation:

f(x)=2x-5 for f(-4)

f(-4)   means let x=-4

f(-4) = 2(-4) -5

f(-4) =-8-5

      = -13