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
Answer This Question
Related Questions
 Mathematics  OPQRS is a right pyramid whose base is a square of sides 12cm each...
 Maths  OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
 Maths  OPQRS is a right pyramid whose base is a square of sides 12cm each. ...
 Areas and volumes  A regular pyramid is inscribed in a right circular cylinder...
 math  If a pyramid is sliced by a plane parallel to the base of the pyramid and...
 mathematics  The base of a pyramid is a regular hexagon consisting of six ...
 math  The base of a regular pyramid is a square whose sides have a length 8 cm...
 math  the altitude of the pyramid is 30cm and its base is enclosed by a ...
 math  the altitude of the pyramid is 30cm and its base is enclosed by a ...
 geometry  a hexagonal pyramid has a base with and area of 25 in2 and is 7 in ...
More Related Questions