Asked by Jeric

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

Answers

Answered by Reiny
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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