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

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:

$Area=\dfrac{1}{2}\times b\times h$

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:

$B=\dfrac{1}{2}\times 16\times 4$

$B=32$

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

$V=32\times 14$

$V=448$

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