Q: In a regular hexagonal prism, the longest diagonal is 12ft. Find the volume of the prism if the diagonal makes an angle of 30 degree with a lateral edge.
formulas:
LSA=Pe where as:LSAis the lateral surface area, P is the perimeter of a right sector and e is the length of a lateral edge
V=Bh where as V is volume and B is the area of the base and h is the height of the prism
V=Bh=Re where as r is the area of a right section and e is the length of a lateral edge, since Bh=Re and h +esin teta then R=Bsinteta

Question

Q: In a regular hexagonal prism, the longest diagonal is 12ft. Find the volume of the prism if the diagonal makes an angle of 30 degree with a lateral edge.
formulas:
LSA=Pe where as:LSAis the lateral surface area, P is the perimeter of a right sector and e is the length of a lateral edge
V=Bh where as V is volume and B is the area of the base and h is the height of the prism
V=Bh=Re where as r is the area of a right section and e is the length of a lateral edge, since Bh=Re and h +esin teta then R=Bsinteta

anonymous · Answer

* h = esinteta*