Use the image to answer the question.

An illustration shows a square rectangular pyramid with a side length of 12 meters, a perpendicular height of 10 meters, and a slant height of 11.66 meters. The right and front faces are visible. Edges and faces that are not visible are indicated by dashed lines.
What is the volume of the rectangular pyramid?

(1 point)
Responses

144 m3

480 m3

559.68 m3

1,440 m3

1 answer

To find the volume of a rectangular pyramid, you use the formula V = (1/3) * (base area) * height.

First, find the base area of the rectangular pyramid:
Base area = (side length)^2
Base area = 12^2 = 144 square meters

Then, plug the base area and height into the volume formula:
V = (1/3) * 144 * 10
V = 480 cubic meters

Therefore, the volume of the rectangular pyramid is 480 m3.

So, the answer is:
480 m3