Products of linear functions
Designing a box: an optimization problem
1. Different options for constructing a box
Brian is a stamp collector, and needs
a box for the spare stamps he wants to trade.
He found a piece of square cardboard, 40x40 cm,
and set about constructing from it a box in the following way:
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He intends to cut out a square from each corner, then fold and tape the remaining shape to
make the box.
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To design the box, Brian must decide what size
square to cut out from the corners of the cardboard.
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Describe different options for designing the box
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Make several proposals for constructing the box.
For each proposal, record the dimensions of the box (the
size of its base and height) and its
volume.
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Brian wants the box to have as big a volume as possible. Which of the plans you proposed
is best suited for this purpose? Can you find an even better
design?
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to part 2
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