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

A, D, and the choice that says the volume is ~261.33 metres cubed

Explanation:

The volume of a triangular prism is denoted by: V = (1/3) * Bh, where B is the base area and h is the height.

Here, we know that the base is a triangle with base 8 and height 14, and the overall height is 7. The first step is to find the area of the base. The area of a triangle is denoted by:

A = (1/2) * b * h, where b is the base and h is the height, so A is correct.

Plug values in:

A = (1/2) * 8 * 14 = 56 metres squared, so the D is correct.

Then use this and the height of 14 to find the volume:

V = (1/3) * Bh

V = (1/3) * 56 * 14 = 784/3 metres cubed (I'm assuming you missed an answer choice when copying the problem on here, so the correct last option is the one that says the volume is 784/3 or ~261.33 metres cubed)

Answer 2

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

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.

Explanation:

Volume of prism:

Base area × height

Base area:

½ × 8 × 14 = 56

Volume:

56 × 7 = 392