Good day everyone.(adsbygoogle = window.adsbygoogle || []).push({});

I'm confused about how I SHOULD set up the domain of my function that models the word problem.

Suppose I have a word problem that goes like this:

A square box with no top is to be made by cutting congruent squares from the four corners of a square metal sheet and then folding up the resulting flaps. If the length of a side of the metal sheet is 12 in., how should the square be cut in order to make a box with the largest possible volume?

Okay, so my volume equation is V(x)=(12-2x)(12-2x)(x)

I know how to solve this kind of equation but, how do I know what interval I should consider?

Should I use [0,6] or (0,6)?

Can anyone give tips on how to know which one?

My book used (0,6) but I don't really understand why. I know its meaningless to say you cut the corners by 0 cm^2, since you didn't really cut anything. Also 6cm^2, since by then none will be left for the open-top box. But how do I really know the domain of my function?

I'm really confused. Help would be really appreciated.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Setting Up the Domain for Maxima/Minima Word Problems

Loading...

Similar Threads for Setting Domain Maxima |
---|

I N-th dimensional Riemann integral |

I Taylor expansions, limits and domains |

I Must functions really have interval domains for derivatives? |

B Domain of Derivatives |

**Physics Forums | Science Articles, Homework Help, Discussion**