Question

find the volume of a traingular prism of side 13,14,15 and height 32

Answer 1

Volume of Triangular prism = 1/3×h×are of base of prism
⇒Area of base of prism will be 84.
Volume = 1/3×h×base of prism
= 1/3×32×84
= 32×28
= 896
Volume of prism is 896.

Answer 2

the base of the prism is a triangle of sides 13, 14, and 15.
Area of the base of the prism is found by Heron's formula:
  semi perimeter = s = (a+b+c)/2 = 21
$Area = \sqrt{s(s-a)(s-b)(s-c)}=\sqrt{21*8*7*6}=4*7*3 =84\ square\ units\\\\Volume\ of\ regular\ triangular\ prism=base\ area*height\\=84*32=2,688$ cubic units