Question

What steps should be taken to calculate the volume of the right triangular prism? Select three options. A triangular prism. The triangular base has a base of 8 meters and height of 14 meters. The height of the prism is 7 meters. Use the formula A = one-half b h to find the area of the base. Use the formula A = b h to find the area of the base. The area of the base, A, is One-half (7) (8) = 28 meters squared. The area of the base, A, is One-half (8) (14) = 56 meters squared. The volume of the prism, V is (56) (7) = 392 meters cubed.

Answer 1

9514 1404 393

Answer:

A, D, E

Explanation:

Given:

A triangular prism 7 m high with a base triangle that has a base of 8 m and a height of 14 m.

Find:

3 steps among those listed that should be taken to compute the volume.

Solution:

The listed steps are ...

(a) Use the formula A = one-half b h to find the area of the base.

(b) Use the formula A = b h to find the area of the base.

(c) The area of the base, A, is One-half (7) (8) = 28 meters squared.

(d) The area of the base, A, is One-half (8) (14) = 56 meters squared.

(e) The volume of the prism, V is (56) (7) = 392 meters cubed

__

The formula for the volume is ...

V = Bh . . . . where B is the area of the base, and h is the prism height

The formula for the area of a triangle is ...

A = 1/2bh . . . . where b is the base of the triangle and h is its height

We need the area of the triangular base before we can use the volume formula, so the first step is (a). The next step is to fill in values in that formula, so the second step is (d). Finally, we fill in values in the volume formula, so the third step is (e).

Of the steps listed, we should use steps (a), (d), (e).