Question

The base is a 30°-60°-90° triangle with a hypotenuse of 14 m. The height of the prism is 11 m. Find the volume to the nearest tenth.

Answer 1

V = 326.3 m ^ 3

Explanation:

First we look for the area of the base of the prism:

A = (1/2) * (b) * (h)

Where,

b: base of the triangle

h: height of the triangle

For the base we have:

b = 10 * sine (30)

b = 5

For the height we have:

h = 10 * sine (60)

h = 8.7

Substituting we have:

A = (1/2) * (5) * (8.7)

A = 21.75

The prism volume will be:

V = A * H

Where,

H: prism height

V = (21.75) * (15)

V = 326.25

Round to the nearest tenth:

V = 326.3 m ^ 3

Answer:

the volume is:

V = 326.3 m ^ 3