16 replies to this topic

[TimeSpaceLightForce]

How did Goldilock sliced the whole cake into
three equal pieces for Papa bear, Mama bear
    
  _===_       _><_
  ( - ,  - )      (- . -)     _/\_
 { |||   ||| }     {  == }    (' -' )
===================
|                                    |
|~~~~~~~~~~~~~~~~~~|
                                          
and Baby bear with only one straight cut ?

[Thalia]

Spoiler for

"only one straight cut"? Does that mean we can make a bunch of wavy/squiggly cuts?

Edited by Thalia, 10 January 2013 - 04:20 AM.

[Pankaj Varma]

Does not say about the shape of the cake. A properly designed Y shaped cake could be cut into 3 equal portions with just one straight cut

[TimeSpaceLightForce]

Spoiler for

"only one straight cut"? Does that mean we can make a bunch of wavy/squiggly cuts?

Spoiler for

It is very interesting to see a squiggly cut  but not the complicated math

[TimeSpaceLightForce]

Does not say about the shape of the cake. A properly designed Y shaped cake could be cut into 3 equal portions with just one straight cut

Spoiler for

Hi PV

\\\ ///

  |||

Right, but  Y shape has is a triagle in the center..

about  design of Y shape knife maybe but

lets see first  if there's a need.

thanks

 

|||||| ||||||||||||||||||||||||||

||||||

||||||

|||||| |||||||||||||||||||||||||

C shape does not look whole..or a cake

[Rainman]

Spoiler for the cake could look like this

||||||||||||    ||||||||||||

||||    ||||    ||||    ||||

||||    ||||    ||||    |||| _{<-------cut along this line}

        ||||    ||||

        ||||    ||||

        ||||||||||||

 

[jddouglas]

If the cake was just a regular rectangle...

 

Spoiler for Spoiler

Would cutting a circle out of the middle be considered a "one straight" cut? To keep the numbers simple, if the cake were 2 feet x 4.71 feet, she could cut a circle with a 2 foot diameter out of the middle. You would then have a circle piece with an area of 3.14 feet, and the two side pieces with the same area.

[BobbyGo]

Spoiler for Cut with what?

The problem never stated what the cake would be cut with.  Could be a knife, or possibly some pitchfork shaped utensil.

 

-------------------------

|                            |

|                            |

|                            |         <-- Awesomely drawn cake

|                            |

|                            |

-------------------------

 

         ^      ^

         ||      ||

         ||===||                    <-- Poorly drawn multi-pronged cutting apparatus

             ||

             ||

 

[TimeSpaceLightForce]

Spoiler for the cake could look like this

||||||||||||    ||||||||||||

||||    ||||    ||||    ||||

||||    ||||    ||||    |||| _{<-------cut along this line}

        ||||    ||||

        ||||    ||||

        ||||||||||||

Spoiler for

Hi Rainman

 That is a triple U shape, like C shape also.. where you can have three rectangles.. but bears dont like rectangle cakes

[TimeSpaceLightForce]

If the cake was just a regular rectangle...

 

Spoiler for Spoiler

Would cutting a circle out of the middle be considered a "one straight" cut? To keep the numbers simple, if the cake were 2 feet x 4.71 feet, she could cut a circle with a 2 foot diameter out of the middle. You would then have a circle piece with an area of 3.14 feet, and the two side pieces with the same area.

Hi welcome to the den.

Spoiler for

Good 1,  [ ( ( ) ) ] same weight but bears may  have issue on it and hard to explain they are as big without a weighing scale,all might demand the circle one . Thanks for this solution