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
(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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