What is the volume of the triangular prism to the nearest whole unit?

A triangular prism is shown. The height of the prism is 16 feet and the triangular bases have a side that is 15 feet in length. A dashed line that is labeled 3 feet is drawn to the opposite vertex from the 15 foot side of one of these triangles. A small square is located at the intersection of this dashed line with the side of the triangular base.
A. 360 ft3
B. 240 ft3
C. 1,440 ft3
D. 720 ft3

1 answer

To find the volume of a triangular prism, you need to multiply the area of the base by the height of the prism.

The base of the prism is a triangle with a base of 15 feet and a height of 3 feet (the length of the dashed line).

The area of the base is (1/2) x base x height = (1/2) x 15 x 3 = 22.5 square feet.

Multiplying this by the height of the prism (16 feet) gives a volume of 360 cubic feet.

Therefore, the answer is A. 360 ft3.
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