Volume of Pyramids Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
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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.
(1 point)
To find the volume of a pyramid, you use the formula V = (1/3) * Bh, where B is the area of the base and h is the height of the pyramid.
First, find the area of the base, which is a square with side length 16 miles. The formula for the area of a square is A = s^2, so in this case, the area of the base is 16^2 = 256 square miles.
Next, plug in these values into the formula for the volume of a pyramid:
V = (1/3) * 256 * 8
V = (1/3) * 2048
V = 682.67
Therefore, the volume of the rectangular pyramid is 682.67 cubic miles.