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# piece of cake

## Question

How did Goldilock sliced the whole cake into
three equal pieces for Papa bear, Mama bear

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and Baby bear with only one straight cut ?

## Recommended Posts

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If the cake was just a regular rectangle...

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.

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

Edited by Thalia
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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

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

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

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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

Hi PV

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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

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C shape does not look whole..or a cake

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|||| |||| |||| |||| <-------cut along this line

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

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| | <-- Awesomely drawn cake

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^ ^

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

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

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|||| |||| |||| |||| <-------cut along this line

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Hi Rainman

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

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If the cake was just a regular rectangle...

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.

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

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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

||

||

Hi there Bobby,

Thats is awsome piece of hardware..but they cant afford to buy such.

thanks for the idea.

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The cake is round and the knife is sharp and pointy.

Edited by TimeSpaceLightForce
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Does the cake need to be stationary, or can it be spun (or moved in another fashion) while it is being cut?

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if it was a 3 layer cake, cut in 1/2 then give each 2 layers.

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Does the cake need to be stationary, or can it be spun (or moved in another fashion) while it is being cut?

Dexterity ..lets say there is a Lazy Susan..go on

Nice thought, solution is shaping

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if it was a 3 layer cake, cut in 1/2 then give each 2 layers.

Hi, welcome to the den

Right if the layers are of same heights, but why slice if it is already divided ?

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A round, thin, warpable and bit stretchable cake is the
solution specs for this puzzle.."the whole cake" is
a big pancake.The 3 bears love honey syrup on their hot cakes!
Solution:
she did cut the 3 "slice radii" (120deg "Y") at the same time..
first she made a tiny hole on the pancake to mark its center.
then mark the ends of these slice radii on the cake edge.
Next warping it into a "D" shape along one of slice radii making
the other two slice radii (or edge marks) aligned. If she cut the
two aligned slice radii she could have only 2/3 & 1/3 of the cake.
Finally cut them straight starting from the center hole .
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