SOLUTION: A right rectangle prism has a base with an area of 25.5 square feet and a volume of 153 cubic feet. What is the height,in feet,of the rectangular prism?

Algebra ->  Proportions  -> Lessons -> SOLUTION: A right rectangle prism has a base with an area of 25.5 square feet and a volume of 153 cubic feet. What is the height,in feet,of the rectangular prism?      Log On


   



Question 1192396: A right rectangle prism has a base with an area of 25.5 square feet and a volume of 153 cubic feet. What is the height,in feet,of the rectangular prism?
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A right rectangle prism has a base with an area of 25.5 square feet and a volume of 153 cubic feet.
What is the height,in feet,of the rectangular prism?
==========================
Vol = Area * height

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
a base with an area of 25.5 square feet:
w%2Al=25.5ft%5E2
l=25.5ft%5E2%2Fw...........eq.1

V=153ft%5E3
since V=wlh , we have
wlh+=153ft%5E3.............substitute l from eq.1
w%2825.5ft%5E2%2Fw%29+%2Ah=153ft%5E3...........simplify
h%2A25.5ft%5E2+=153ft%5E3
h+=153ft%5E3%2F25.5ft%5E2
h+=6ft+