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\[\huge V=\frac{ \sqrt{3} }{ 2 }a^2h\] a is the length of one edge of the hexagonal base and h is the height from the center of the hexagonal cross section to the point of the pyramid
Since you are not given h, you will have to do pythagorean theorem to find it. You're given one of the side faces, but you're not given the distance from the length to the center, so you will have to do pythagorean for the hypotenuse of the small triangle first. Then use pythagorean theorem for the big triangle to find the height of the hexagonal pyramid.
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