 Maximizing the Volume of a Box,
a selection of answers from the Dr. Math archives.
 Maximum Volume of a Box
 A rectangular sheet of cardboard measures 16cm by 6cm. Equal
squares are cut out of each corner and the sides are turned up to
form an open rectangular box. What is the maximum volume of the box?
 Maximizing the Volume
of a Box
 What dimensions should a rectangular piece of paper have to
maximize the volume of the box made by cutting the corners out
and folding?
 Maximizing the Volume
of a Box: Find Size of Square Cutout
 If I have a rectangular card of size AxB, how can I find the size
of the square cutout that maximizes the volume of the box produced
when the edges are folded up?
 Open Box Problem
 Find the formula for the greatest volume box you can make from
a sheet of cardboard with differentsized corners cut out of it.
 Maximizing the Volume of a
Box
 I have a piece of glass that is 14" by 72". What dimensions
would I need to make a glass cage with maximum volume?
 Maximizing Volume of a
Cereal Box
 Why are cereal boxes the size they are? Is it just to maximize
volume?
 Maximum Volume: Making a
Box from a Sheet of Paper
 I am making a box out of a sheet of paper by cutting squares
out of the corners. How can I show that the largest possible volume
occurs when the side of the square is 1/6 the length of the sheet
of paper?
 Dimensions of a Cardboard Box
 A box with a square bottom and a volume of 2000 centimeters
can be made by cutting 5centimeter squares from the corners of
a piece of cardboard...
