Question

The volume of a triangular prism is 480 cubic inches. If the area of the triangular base is 60 square inches, what is the height of the prism?

60 inches
80 inches
8 inches
6 inches

Answer 1

Volume is Length x width x height.

The length x width would give you the area, which is given as 60 square inches.

To find the height, divide the total volume by the area of the base:

480 / 60 = 8

The height = 8 inches.

Answer 2

C. 8 inches.

Step-by-step explanation:

We have been given that the volume of a triangular prism is 480 cubic inches. The area of the triangular base is 60 square inches. We are asked to find the height of the prism.

We will use volume of triangular prism to solve for the height of the prism.

`\text{Volume of triangular prism}=Bh`, where,

B = Area of base,

h = Height of prism.

Upon substituting our given values in volume formula we will get,

`480\text{ in}^3=60\text{ in}^2*h`

Now, we will divide both sides of our equation by 60 square inches.

`\frac{480\text{ in}^3}{60\text{ in}^2}=\frac{60\text{ in}^2*h}{60\text{ in}^2}`

`\frac{48\text{ in}}{6}=h`

`8\text{ in}=h`

Therefore, the height of the prism is 8 inches.