Each side of the base is 6 cm ------- (24/6)
make a sketch of the hexagon base to find its apothem, the distance
from the centre to the midpoint of a side.
Consider one of the equilateral triangles of side 6
You should have no difficulty to find the apothem to be 3√3
you said the angle between slant and apothem is 60°
let the height of the pyramid be h cm
then tan60° = h/3√3
h = 3√3tan60 = 9
volume = (1/3)(base)(height) = (1/3)(base)(9) = 3base
I will leave it up to you to find the area of the hexagon
The perimeter of a regular hexagonal pyramid is 24 cm. The angle between the pyramid's slant height and hexagon's apothem is 60 degrees. find the volume of the pyramid
1 answer
1 answer