A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Volume of the prism?

Question

A right prism has height 8 and triangular bases with sides of length 7, 8, and 9. What is the: Volume of the prism?

Answer 1

For prism volume V = Bh, where B is area of base. We can find B by Heron's formula: perimetr 2s =7 + 8 + 9 =

24; s = 12; B = (12(12 - 7)(12 - 8)(12 - 9))^1/2 = (720)^1/2 = 12√5.

Now V = 12√5·8 = 96√5 = 214.663