Question

the volume of a triangular prism with base area b and height h is bh. dean is camping out in his backyard in a tent shaped like a triangular prism. the floor of the tent is one side of the prism, which is 12 feet long. the entrance to the tent is the base of the prism, and it has an area of 24 square feet. what is the volume of the tent? write your answer as a whole number or decimal. cubic feet

Answer 1

If the volume of a triangular prism with base area b and height h is bh. The volume of the tent is 288ft ³.

What is the volume?

Volume V of a triangular prism formula is:

V=Bh

Where:

B =base area

h = height

The base of the prism is a triangle with an area of 24 square feet and the height of the prism is the length of the floor of the tent, which is 12 feet.

So,

B=24 square feet

h=12 feet

Plug these values into the formula:

V=Bh

V=24ft ²×12ft

V=288ft ³

Therefore, the volume of the tent is 288ft ³.