Use the image to answer the question.
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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page 13 of 14
The volume of a rectangular pyramid is given by the formula:
V = (1/3) * base area * height
First, calculate the base area of the pyramid:
Area = side length * side length
Area = 16 miles * 16 miles
Area = 256 square miles
Now, plug in the values into the formula:
V = (1/3) * 256 * 8
V = (1/3) * 2048
V = 682.67 cubic miles
Therefore, the volume of the rectangular pyramid is 682.67 cubic miles.