A regular hexagonal pyramid has a perpendicular height of 42.0mm.If the distance across the flats of the hexagonal base is 18m find the volume and the lateral surface area of the pyramid.

Answer 1

the hexagon has an apothem a=9.
so, its sides are s=6√3

Now, you know how to find the area of a hexagon of side s.

The area A of the pyramid is just A=6(sa/2)

The volume is 1/3 (area of hexagon)*42