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#1 2016-05-25 14:39:01

MathWA
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From: Somewhere over the rainbow
Registered: 2016-05-22
Posts: 12
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3-D pineapple chopping

In 1972, the Dole company produced a pineapple weighing a record of 9 pounds. If the pineapple was a cylinder, how many ways could the pineapple be cut into congruent sections of only four straight cuts are made?
Thanks.


We cannot solve our problems with the same thinking we used when we created them.

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#2 2016-05-25 16:28:01

apsara123
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Registered: 2016-05-14
Posts: 20

Re: 3-D pineapple chopping

1??

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#3 2016-05-25 19:25:15

Bob
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Registered: 2010-06-20
Posts: 10,621

Re: 3-D pineapple chopping

hi MathWA

Cuts have got to leave congruent pieces so four cuts at right angles to the axis and equally spaced would be one way.  This would make 5 equal shorter cylinders.

Or you could make the cuts through a diameter of the circular ends and along the axis.  These cuts would have to be 45 degrees apart.

And there are several ways that mix these two types of cut.  I'll leave you to find them.  smile

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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