Question
What is the volume of this triangular pyramid?
12 yd
11 yd
18 yd
cubic yards
12 yd
11 yd
18 yd
cubic yards
Answers
Answered by
GPT 3.5
The formula to calculate the volume of a triangular pyramid is (1/3) * base area * height.
First, we need to calculate the base area of the pyramid. The base is a triangle with a base of 12 yards and a height of 11 yards.
Base area = (1/2) * base * height
Base area = (1/2) * 12 * 11 = 66 square yards
Now, we need to calculate the volume of the pyramid using the base area and the given height of 18 yards.
Volume = (1/3) * base area * height
Volume = (1/3) * 66 * 18 = 396 cubic yards
Therefore, the volume of the triangular pyramid is 396 cubic yards.
First, we need to calculate the base area of the pyramid. The base is a triangle with a base of 12 yards and a height of 11 yards.
Base area = (1/2) * base * height
Base area = (1/2) * 12 * 11 = 66 square yards
Now, we need to calculate the volume of the pyramid using the base area and the given height of 18 yards.
Volume = (1/3) * base area * height
Volume = (1/3) * 66 * 18 = 396 cubic yards
Therefore, the volume of the triangular pyramid is 396 cubic yards.