Asolid oblique pyramid has a regular pentagonal base. the base has an edge length of 2.16 ft and an area of 8 ft2. angle acb measures 30°.

what is the volume of the pyramid, to the nearest cubic foot?

5 ft3
9 ft3
14 ft3
19 ft3

The correct option is 4.

Step-by-step explanation:

Given: The pentagonal base with edge length of 2.16 ft and area of 8 ft². Angle ACB measures 30°

In triangle ACB,

Volume of an oblique pyramid is

Where, B is area of base and h is height of pyramid.

The volume of the pyramid to the nearest cubic foot is 19 ft³ and option 4 is correct.

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