SOLUTION: The top of a right rectangular box has an area of 88cm^2 The sides have areas 32cm^2 and 44cm^2 What are the dimensions of the box?

Algebra ->  Volume -> SOLUTION: The top of a right rectangular box has an area of 88cm^2 The sides have areas 32cm^2 and 44cm^2 What are the dimensions of the box?      Log On


   

Question 309470: The top of a right rectangular box has an area of 88cm^2
The sides have areas 32cm^2 and 44cm^2 What are the
dimensions of the box?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
The top of a right rectangular box has an area of 88cm^2
The sides have areas 32cm^2 and 44cm^2
What are the dimensions of the box?
:
L*W = 88
:
L*H = 32
L = 32%2FH
:
W*H = 44
W = 44%2FH
:
Substitute for L & W in the 1st equation
32%2FH * 44%2FH = 88
1408%2FH%5E2 = 88
88H^2 = 1408
H^2 = 1408%2F88
H^2 = 16
H = sqrt%2816%29
H = 4 cm is the height
:
L = 32%2FH
L = 32%2F4
L = 8 cm is the length
:
I'll let you find W using W = 44%2FH