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
1,440 m3
1,440 m cubed
480 m3
480 m cubed
559.68 m3
559.68 m cubed
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The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height. The base area of the rectangular pyramid 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.
Therefore, the volume of the rectangular pyramid is V = (1/3) * 144 * 10 = 480 cubic meters.
So, the correct answer is 480 m3.