Question

Find the volume of the following

Answer 1

Given:

A prism with right triangular base.

Base of triangle = 6 ft

Height of triangle = 8 ft

Height of prism = 7

To find:

The volume of the given prism.

Solution:

The volume of prism is:

`V=Bh` ...(i)

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

In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:

`B=(1)/(2)* base* height`

`B=(1)/(2)* 6* 8`

`B=(48)/(2)`

`B=24`

Substituting
`B=24,\ h=7` in (i), we get

`V=24* 7`

`V=168`

Therefore, the volume of the prism is 168 cubic ft.