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how much stuff can you stuff in a stuffie until your stuffie can't stuff enough stuff?

 Apr 17, 2014

Best Answer 

 #2
avatar+128731 
+3

It depends.....let's suppose that your "stuffie"  holds 2 cubic units. Let's suppose that the first item that you put in has a volume of 1 cubic unit and each additinal item has 1/2 as much volume as the previous one.

Then the first few items have a total volume of

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 = 1.9921875 cubic units

And we could, theoretically, put as many items in the "stuffie" as we wanted to as long as each successive one had 1/2 the volume of the previous.

(This also answers the question, "How many angels will fit on the head of a pin????")

If you take Calculus, you'll see that we approach a "limit" here....I'll keep you in suspense as to what that limit is......maybe you can guess it !!!  

(It also proves that seemingly "frivolous" questions sometimes prove to be more interesting than first thought!!!)

 Apr 17, 2014
 #1
avatar+118613 
0

I am sure there is a great anser to that but I do not know what it is.

Pity reinout-g is not logged on. I am sure he would have a good answer for you. 

 Apr 17, 2014
 #2
avatar+128731 
+3
Best Answer

It depends.....let's suppose that your "stuffie"  holds 2 cubic units. Let's suppose that the first item that you put in has a volume of 1 cubic unit and each additinal item has 1/2 as much volume as the previous one.

Then the first few items have a total volume of

1 + 1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64 + 1/128 = 1.9921875 cubic units

And we could, theoretically, put as many items in the "stuffie" as we wanted to as long as each successive one had 1/2 the volume of the previous.

(This also answers the question, "How many angels will fit on the head of a pin????")

If you take Calculus, you'll see that we approach a "limit" here....I'll keep you in suspense as to what that limit is......maybe you can guess it !!!  

(It also proves that seemingly "frivolous" questions sometimes prove to be more interesting than first thought!!!)

CPhill Apr 17, 2014
 #3
avatar+118613 
0

Mmmm Interesting Chris. 

 Apr 17, 2014

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