A solid 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°.

A solid oblique pyramid has a regular pentagonal base. The base has an edge length of 2.16 feet and an area of 8 feet squared. Point A is the apex and point C is the center of the hexagon. Line A B shows the vertical height of the pyramid. Triangle A B C is a right triangle with base length of 7 StartRoot 3 EndRoot feet.

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

5 ft3
9 ft3
14 ft3
19 ft3