Volume of Pyramids Quick Check

Question

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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

144 m3
144 m cubed

559.68 m3
559.68 m cubed

480 m3
480 m cubed

1,440 m3
1,440 m cubed

Answer 1

The correct answer is 480 m3 (480 cubic meters).

To find the volume of a pyramid, you can use the formula V = 1/3 * (base area) * height. In this case, the base is a square with side length 12 meters, so the area of the base is 12 * 12 = 144 square meters.

Plugging in the values, we get V = 1/3 * 144 * 10 = 480 cubic meters.