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

480 m3
480 m cubed

559.68 m3
559.68 m cubed

1,440 m3
1,440 m cubed

1 answer

The formula for the volume of a rectangular pyramid is V = (1/3) * base area * height. In this case, the base area is the area of the square base, which can be calculated as 12m * 12m = 144m^2.

Now, plug in the values into the formula: V = (1/3) * 144m^2 * 10m = 1440 m^3.

Therefore, the volume of the rectangular pyramid is 1440 m^3.

So, the correct answer is:
1,440 m3
1,440 m cubed