Volume of Pyramids Practice
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Question
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.
To find the volume of a rectangular pyramid, you can use the formula:
Volume = (1/3) * base area * height
First, find the base area of the pyramid, which is a square with side length 16 miles. The area of a square is calculated by squaring the side length:
Base area = 16 miles * 16 miles = 256 square miles
Next, plug the base area and the height of the pyramid (8 miles) into the volume formula:
Volume = (1/3) * 256 square miles * 8 miles
Volume = (1/3) * 2048 cubic miles
Volume = 682.67 cubic miles
Therefore, the volume of the rectangular pyramid is approximately 682.67 cubic miles.