Question

Find the volume of the triangular prism in the picture shown. Round your answer to the

nearest tenth. *

1: 167
2:77.3 yd
3: 77 yd²

Answer 1

Given:

A figure of a triangular prism.

Height of triangular base =
`9(2)/(3)` yd

Base of triangular base = 4 yd

Height of prism = 4 yd.

To find:

The volume of the triangular prism.

Solution:

Volume of a triangular prism is:

`V=Bh` ...(i)

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

Area of triangular base is:

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

`B=(1)/(2)* 4* 9(2)/(3)`

`B=2* (29)/(3)`

`B=(58)/(3)`

Putting
`B=(58)/(3)` and h=4 in (i), we get

`V=(58)/(3)* 4`

`V=(232)/(3)`

`V=77.33...`

`V\approx 77.3`

The volume of the triangular prism is 77.3 cubic yards. Therefore, the correct option is 2.