Question

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.

Answer 1

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

`Area=(1)/(2)* Base* Height`

So, the area of the base is

`B=(1)/(2)* 6* 5`

`B=(30)/(2)`

`B=15`

Now, the volume of a triangular prism is

`V=Bh`

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

Putting B=15 and h=7, we get

`V=(15)(7)`

`V=105`

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