SOLUTION: Polynomial and Rational Functions
Solve:
102. Maximum Volume. An open-top box is to be made from a 6 in. by 7 in. piece of copper by cutting equal squares (x in. by x in.) from
Algebra.Com
Question 391080: Polynomial and Rational Functions
Solve:
102. Maximum Volume. An open-top box is to be made from a 6 in. by 7 in. piece of copper by cutting equal squares (x in. by x in.) from each corner and folding up the sides. Write the volume of the box as a function of x. Use a graphing calculator to find the mazimum possilbe volume to the nearest hundredth of a cubic inch.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If you cut x by x squares from each corner and fold up the sides, you will have a box that measures 6 - 2x by 7 - 2x by x, hence the volume is:
\ =\ (6\ -\ 2x)(7\ -\ 2x)x)
Multiply it out to get a third degree polynomial and then put it in to your graphing calculator.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
An open-top box is to be made from a 2 in. by 3 in. piece of cardboard by removing a... (answered by Edwin McCravy)
3. A piece of cardboard measuring 10 inches by 15 inches is to be made into a box with... (answered by ankor@dixie-net.com)
Problem A sheet metal worker is planning to make an open top box by cutting equal... (answered by ankor@dixie-net.com)
By cutting away identical squares from each corner of a rectangular piece of cardboard... (answered by Earlsdon)
an open- top box is to be made from an 8 in by 12 in rectangular piece of copper by... (answered by ankor@dixie-net.com)
Here is the question I have:
An open-top box will be made from a square piece of... (answered by Earlsdon)
An open box is to be made from a 24 in. by 36 in. piece of cardboard by cutting out... (answered by josgarithmetic,ikleyn)
Please helpo solve!
i) Problem: A sheet metal worker is planning to make an open-top... (answered by ankor@dixie-net.com)
A box with an open top is to be constructed from a rectangular piece of cardboard with... (answered by checkley77)
