Question

Note: Figure not drawn to scale. Height has been rounded for computational ease. If h = 8 units, X = 9 units, Y = 8 units, and Z = 17 units, what is the volume of the triangular prism shown above?

Answer 1

Answer: 576 cubic units

Explanation:

To find the volume of the triangular prism, we can use the formula:

Volume = (base area) * height

In this case, the triangular prism has a triangular base, so we need to find the area of the base first.

The formula to find the area of a triangle is:

Area = (base * height) / 2

In this case, the base of the triangle is X and the height is Y.

Area = (X * Y) / 2

Area = (9 units * 8 units) / 2

Area = 72 square units

Now that we have the area of the base, we can calculate the volume of the prism.

Volume = (base area) * height

Volume = (72 square units) * 8 units

Volume = 576 cubic units

Therefore, the volume of the triangular prism is 576 cubic units.

I hope this helps :)