Question 1154322
Determine the volume of a prism with altitude 50 cm and triangular base with sides 40 cm, 33 cm, and 23 cm.

Volume here = area of base * height

Find area of base by Heron's formula

{{{ A = sqrt(S*(s-a)(s-b)(s-c))}}}

a=40, b= 33, c=23

S = (a+b+c)/2 = 48

{{{ A = sqrt(48*(48-40)(48-33)(48-23))}}}
A=379.47

Volume = A * H

V= 379.47*50

V= 18974 cm^3