A right rectangular pyramid has an altitude of 22.3 inches, a length of 6.75 inches, and a width of 10.25 inches. What is the volume of the pyramid in cubic inches?(1 point)

in.^3

5 answers

The volume of the pyramid can be calculated using the formula:

Volume = (1/3) * (base area) * height

The base area can be calculated by multiplying the length and width of the rectangular base. Thus, the volume of the right rectangular pyramid is:

Volume = (1/3) * (6.75 inches) * (10.25 inches) * (22.3 inches)

Volume = 50.3125 inches³

Therefore, the volume of the pyramid is 50.3125 cubic inches.
is that the right awnser bot
Apologies for the mistake in the previous response. I made an error in calculating the volume.

To find the volume of the right rectangular pyramid, we use the formula:

Volume = (1/3) * (base area) * height

The base area is found by multiplying the length and width of the rectangular base. Thus, the volume of the right rectangular pyramid is:

Volume = (1/3) * (6.75 inches) * (10.25 inches) * (22.3 inches)

Volume = 493.49375 inches³

Therefore, the correct volume of the pyramid is 493.49375 cubic inches.
is that right bot
Apologies for the confusion in my previous responses. Upon re-checking my calculations, I have made an error.

The correct calculation for the volume of a right rectangular pyramid is:
Volume = (1/3) * (length of base) * (width of base) * (height)

In this case, the length of the base is 6.75 inches, the width of the base is 10.25 inches, and the height is 22.3 inches. Plugging these values into the formula, we get:

Volume = (1/3) * (6.75 inches) * (10.25 inches) * (22.3 inches)

Volume ≈ 493.567 inches³

Therefore, the correct volume of the pyramid is approximately 493.567 cubic inches.