Question
Find the volume of the triangular prism.
18 ft
12 ft
2ft
drawing not to scale
(1 point)
A 864f * t ^ 3
B 432f * t ^ 3
C 216f * t ^ 3
D 490p ^ 3
18 ft
12 ft
2ft
drawing not to scale
(1 point)
A 864f * t ^ 3
B 432f * t ^ 3
C 216f * t ^ 3
D 490p ^ 3
Answers
GPT 3.5
To find the volume of a triangular prism, you need to find the area of the triangular base and then multiply by the height.
The formula for the area of a triangle is (1/2) * base * height.
Given that the base of the triangle is 18 ft and the height is 12 ft, the area of the triangle is (1/2) * 18 * 12 = 108 square feet.
Now, to find the volume of the prism, you multiply the area of the base by the height of the prism. The height of the prism is 2 ft.
Volume = 108 sq ft * 2 ft = 216 cubic feet
Therefore, the correct answer is C) 216f * t^3.
The formula for the area of a triangle is (1/2) * base * height.
Given that the base of the triangle is 18 ft and the height is 12 ft, the area of the triangle is (1/2) * 18 * 12 = 108 square feet.
Now, to find the volume of the prism, you multiply the area of the base by the height of the prism. The height of the prism is 2 ft.
Volume = 108 sq ft * 2 ft = 216 cubic feet
Therefore, the correct answer is C) 216f * t^3.