Question

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.
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

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