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
144 m cubed

559.68 m3
559.68 m cubed

480 m3
480 m cubed

1,440 m3

1 answer

The volume of a rectangular pyramid is given by the formula: V = (1/3) * base area * height

The base area of the pyramid is a square with side length 12 meters, so the base area is 12 * 12 = 144 square meters.

Plugging in the values, we get:
V = (1/3) * 144 * 10 = 48 * 10 = 480 cubic meters

Therefore, the volume of the rectangular pyramid is 480 cubic meters.