Question
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
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
Answers
Bot
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.
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.