Question

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

1,440 m3
1,440 m cubed

559.68 m3
559.68 m cubed

480 m3
480 m cubed

144 m3
144 m cubed

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

First, find the base area of the pyramid. Since it is square, the base area is the side length squared: 12 * 12 = 144.

Now, plug in the values into the formula: V = (1/3) * 144 * 10 = 480 cubic meters.

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