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
559.68 m3
559.68 m cubed
1,440 m3
1,440 m cubed
480 m3
480 m cubed
144 m3
144 m cubed
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The volume of a pyramid is given by the formula V = (1/3) * base area * height. In this case, the base is a square with side length 12 meters, so the base area is 12 * 12 = 144 square meters. The height of the pyramid is 10 meters.
Using the formula, V = (1/3) * 144 * 10 = 480 cubic meters.
Therefore, the volume of the rectangular pyramid is 480 m³.