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

Question

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

Answer 1

Total surface area = base perimeter * height + 2* area of base

base perimeter = 7 + 8 + 9 = 24

height = 8

area of base can be found using Heron's Formula

s = (7 + 8 + 9)/2 = 12

area = (12)(5)(4)(3))^0.5 = 26.83

Total surface area = 24*8+2*26.83 = 245.66