Question

7) The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. If the height of the prism is

14 feet, find its volume.
mine the volume if its length is 18 inches

Answer 1

Given:

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet.

Height of the prism is 14 feet.

To find:

The volume of the triangular prism.

Solution:

The area of a triangle is:

`Area=(1)/(2)* b* h`

Where, b is base and h is height of the triangle.

The base of a prism is a right triangle with legs measuring 16 feet and 4 feet. It means the base of the triangle is 16 feet and height is 4 feet. So, the area of the base of the prism is:

`B=(1)/(2)* 16* 4`

`B=32`

Now, the volume of a triangular prism is:

`V=Bh`

Where, B is base area and h is the height.

Putting
`B=32,h=14` in the above formula, we get

`V=32* 14`

`V=448`

Therefore, the volume of the triangular prism is 448 cubic feet.