what is the volume of a pyramid with edge lengths of 7 and 10 and a height of 11

Answer 1

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.