Posted by **Jeric** on Friday, May 3, 2013 at 8:50pm.

A regular hexagonal pyramid whose base perimeter is 60cm has an altitude of 30cm. The volume of the pyramid is??

- math -
**Reiny**, Friday, May 3, 2013 at 10:09pm
The volume of any "pointy thing" is

(1/3) base x height

our base is a hexagon where each side is 60/6 or 10 cm

of course we have 6 equilateral triangles

the area of one of these is

(1/2)(10)(10)sin60° = 50√3/2 = 25√3

and we have 6 of them, so the area of the base is

150√3

Volume = (1/3)(150√3)(30) = 1500√3 cm^3

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