A solid oblique pyramid has a regular pentagonal base. The base has a edge length of 2.16 ft and and area of 8 ft^2. Angle ABC measures 30 degrees. What is the volume of the pyramid, to the nearest cubic foot?

Question

Mathematics

Fiona Griffith

26 July, 23:31

A solid oblique pyramid has a regular pentagonal base. The base has a edge length of 2.16 ft and and area of 8 ft^2. Angle ABC measures 30 degrees. What is the volume of the pyramid, to the nearest cubic foot?

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Answers (1)

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Deanna Rollins · Answer 1

The formula to compute the area for a solid oblique pyramid which has a regular pentagonal base is V=1/3*h*B where "h" represent the height and "B" for the area of the base.

In the given problem area is given which is equal to 8ft² and height is 2.16. Then we can solve for the volume such as shown below:

V=1/3*2.16*8

V=5.76 ft³