SOLUTION: hi please help me with the question below Determine the volume of a prism with altitude 50 cm and triangular base with sides 40 cm, 33 cm, and 23 cm. Round to the nearest whol

Algebra ->  Volume -> SOLUTION: hi please help me with the question below Determine the volume of a prism with altitude 50 cm and triangular base with sides 40 cm, 33 cm, and 23 cm. Round to the nearest whol      Log On


   

Question 1154322: hi please help me with the question below
Determine the volume of a prism with altitude 50 cm and triangular base with sides 40 cm, 33 cm, and 23 cm.
Round to the nearest whole.

cm2
thanks
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
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%28S%2A%28s-a%29%28s-b%29%28s-c%29%29
a=40, b= 33, c=23
S = (a+b+c)/2 = 48
+A+=+sqrt%2848%2A%2848-40%29%2848-33%29%2848-23%29%29
A=379.47
Volume = A * H
V= 379.47*50
V= 18974 cm^3