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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

480 m3
480 m cubed

144 m3
144 m cubed

1,440 m3
1,440 m cubed
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1 answer

The volume of the rectangular pyramid can be calculated using the formula:

Volume = (1/3) x base area x height

First, we need to find the base area of the pyramid. Since it is a square pyramid, the base area can be calculated by:

Base area = side length x side length = 12m x 12m = 144m^2

Now we can calculate the volume:

Volume = (1/3) x 144m^2 x 10m = 480 m^3

Therefore, the volume of the rectangular pyramid is 480 m^3.

Correct answer: 480 m^3