Asked by bellaboo
what is the volume of a pyramid with edge lengths of 7 and 10 and a height of 11
Answers
Answered by
GPT 3.5
To find the volume of a pyramid, you can use the formula: Volume = (1/3) * base area * height.
In this case, the base of the pyramid is not mentioned, so we need to calculate it. Since the pyramid has edge lengths of 7 and 10, it is reasonable to assume it is a rectangular pyramid (a rectangular base).
The area of a rectangle can be calculated by multiplying its length and width. In this case, the length is 10 and the width is 7.
Base area = length * width = 10 * 7 = 70 square units.
Now we can find the volume:
Volume = (1/3) * base area * height
Volume = (1/3) * 70 * 11
Volume = 770/3
Volume ≈ 256.67 cubic units.
Therefore, the volume of the pyramid is approximately 256.67 cubic units.
In this case, the base of the pyramid is not mentioned, so we need to calculate it. Since the pyramid has edge lengths of 7 and 10, it is reasonable to assume it is a rectangular pyramid (a rectangular base).
The area of a rectangle can be calculated by multiplying its length and width. In this case, the length is 10 and the width is 7.
Base area = length * width = 10 * 7 = 70 square units.
Now we can find the volume:
Volume = (1/3) * base area * height
Volume = (1/3) * 70 * 11
Volume = 770/3
Volume ≈ 256.67 cubic units.
Therefore, the volume of the pyramid is approximately 256.67 cubic units.