Help me !!!! Find the volume of a prism with triangular bases where the perimeter of the base = 18", apothem = x", and the prism height = 12". USe V =Bh and A = 1/2 ap for the area of the base.

Question

Help me !!!! Find the volume of a prism with triangular bases where the perimeter of the base = 18", apothem = x", and the prism height = 12".  USe V =Bh and A = 1/2 ap for the area of the base.

anonymous · Answer

can you draw it?

ranga · Answer

A = 1/2 * a * p  ; where A is the area of the case; a is apothem and p is perimeter

p = 18, a = x.  Substitute in A

Area A = 1/2*18 * x = 9x

Volume of prism = Area of base * height = 9x * 12 = 108x