Question

Find the volume of the triangular prism to the right

Answer 1

V = 567 ft³

Explanation:

V = Bh

[note: a capital 'B' represents the area of the base]

The right triangle is the triangular prism's base.

Because the triangle's height (9 ft) and it's base are the same value (9 ft), we can solve to find the area.

• We can identify the base easily because the base and the top of the prism are exactly the same shape

Area of triangular base:

A =
`(bh)/(2)`

A =
`(1)/(2)` (9 ⋅ 9)

A =
`(1)/(2)` (81)

A = 40.5

We have 'B' for the triangular prism's formula, so next we need 'h'. 14 ft is provided as the prism's height, so we just need to multiply 40.5 and 14 for our answer.

Volume of triangular prism:

V = Bh

V = (40.5)(14)

V = 567 ft³