SOLUTION: The following problem is often used in textbooks using different measures. An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 fo

Algebra.Com
Question 1199113: The following problem is often used in textbooks using different measures.
An open box is to be constructed from a square piece of sheet metal by removing a square of side 1 foot from each corner and turning up the edges. If the box is to hold 4 cubic feet, what should be the dimensions of the shert metal?
Let me see.
I can label the length of a side of the square piece of metal as x.
The box will be of height 1 foot, and it's square base will measure (x - 2) on each side. The volume V of the box is V = (x - 2)(x - 2) • 1 or (x - 2)^2.
Is this right so far?


Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

yes, that is right so far
plug in given The volume







Two solutions
->disregard
and

so, the dimensions of the sheet metal are by


RELATED QUESTIONS

An open box is to be constructed from a square piece of sheet metal by removing a square... (answered by ikleyn,Theo,MathTherapy)
Information: A rectangular box which is open at the top, has a square base with sides of... (answered by josgarithmetic)
Can someone help me with the following problem? An open-top box is to be constructed... (answered by ankor@dixie-net.com)
not sure if in right area but can someone help me with this problem An open box is to... (answered by solver91311,stanbon,RAY100)
An open box is 5 inches deep and 180 cubic inches in volume is to be constructed. Find... (answered by benni1013)
An open box is to be constructed from a square sheet of plastic by removing a square of... (answered by psbhowmick)
[ An open box is constructed from a rectangular sheet of cardboard that measures 12... (answered by TimothyLamb)
An open-top box with a square base is to be constructed from a sheet metal in such a way... (answered by Greenfinch)
An open top box with a square base is to be constructed from a sheet metal in such a way... (answered by ankor@dixie-net.com)