Volume Unit Test
5 of 155 of 15 Items
Question
Use the image to answer the question.
An illustration shows a rectangular pyramid with length of 7.5 miles, a width of 7 miles, and a perpendicular height of 5 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?
(1 point)
mi.3
The volume of a rectangular pyramid can be calculated using the formula: V = (1/3) * base area * height.
First, calculate the base area of the rectangular pyramid:
Base area = length * width
Base area = 7.5 miles * 7 miles
Base area = 52.5 mi^2
Now, plug the base area and height into the volume formula:
V = (1/3) * 52.5 mi^2 * 5 miles
V = (1/3) * 262.5 mi^3
V = 87.5 mi^3
Therefore, the volume of the rectangular pyramid is 87.5 cubic miles.