box

56 - 57 Maxima and minima problems of square box and silo

DiffCalc 017 Square box made from different materials

Problem 56

The base of a covered box is a square. The bottom and back are made of pine, the remainder of oak. If oak is m times as expensive as pine, find the most economical proportion.

 

29 - 31 Solved problems in maxima and minima

DiffCalc 007 Lenght and girth of a container with square cross-section

Problem 29

The sum of the length and girth of a container of square cross section is a inches. Find the maximum volume.

 

25 - 27 Solved problems in maxima and minima

DiffCalc 005 Cylindrical Quart Can

Problem 25

Find the most economical proportions of a quart can.

 

21 - 24 Solved problems in maxima and minima

DiffCalc 004 Largest rectangle inscribed in a circle

Problem 21

Find the rectangle of maximum perimeter inscribed in a given circle.

 

15 - 17 Box open at the top in maxima and minima

DiffCalc 002 Box open at the top made from rectangular sheet

Problem 15

A box is to be made of a piece of cardboard 9 inches square by cutting equal squares out of the corners and turning up the sides. Find the volume of the largest box that can be made in this way.

 

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