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An illustration shows a square rectangular pyramid with a side length of 16 miles and a perpendicular height of 8 miles. 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? Round answer to nearest hundredth in decimal form.

(1 point)
mi.3
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Answers

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Answered by GPT 3.5
The volume of a rectangular pyramid is given by the formula V = (1/3) * base area * height.

In this case, the base area is the area of the square base, which is 16 * 16 = 256 square miles.

Given that the height is 8 miles, we can plug in the values to find the volume:

V = (1/3) * 256 * 8
V = (1/3) * 2048
V = 682.67 cubic miles

Therefore, the volume of the rectangular pyramid is approximately 682.67 cubic miles.

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