Question

Kenneth added power ventilation fans to the attic of one of the buildings to keep room temperatures more comfortable in the summer. He calculated the volume of the attic, which is shaped like a triangular prism 36 feet wide, 64 feet long, and 9 feet high. How many cubic feet of air does the attic contain?

Answer 1

The volume of the attic, shaped like a triangular prism, is 5184 ft³.

Step-by-step explanation:

To calculate the volume of the attic, we multiply the width, length, and height of the triangular prism. The volume formula for a triangular prism is:

V = (1/2) * base area * height

The base area of the triangular prism is (1/2) * 36 ft * 64 ft = 1152 ft². So, the volume of the attic is V = (1/2) * 1152 ft² * 9 ft = 5184 ft³.