SOLUTION: please help asap..on my worksheet it siads a closed rectangular box has a surface area of 1000 square feet. it's length is twice as its width and its height is six times its width.

Algebra ->  Volume -> SOLUTION: please help asap..on my worksheet it siads a closed rectangular box has a surface area of 1000 square feet. it's length is twice as its width and its height is six times its width.      Log On


   

Question 199559: please help asap..on my worksheet it siads a closed rectangular box has a surface area of 1000 square feet. it's length is twice as its width and its height is six times its width..please help me and show me how you got to answer..thank you soo soo much!
Found 2 solutions by solver91311, rfer:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!

The surface area of a rectangular solid is given by:



Where is the length, is the width, and is the height.

But we are given that , , and , so:








Solve for

John

Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
(x)(2x)=1000
2x^2=1000
x^2=500
x=22.36
2x=44.72
height=134.16 or 134ft 2in