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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

Find the volume of the triangular prism in the picture shown. Round your answer to-example-1
User Ziker
by
8.3k points

1 Answer

2 votes

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.

User Nizamudeen Sherif
by
8.2k points

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