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February 12, 2016
Posted by **ali** on Tuesday, February 16, 2010 at 5:19pm.

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**Damon**, Tuesday, February 16, 2010 at 5:28pm(48/6)^(1/3)

= 8^(1/3)

= 2

for example if a little cubical box had length 1 and a big one had length 2

then the volume of the little one is 1^3 = 1

and the volume of the big one is 2^3 = 8

so a scale ratio of 2 leads to a volume ratio of 8

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**Damon**, Tuesday, February 16, 2010 at 5:29pmBy the way, you happened to ask a ship designer.

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**ali**, Tuesday, February 16, 2010 at 5:33pmthank you!

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**Damon**, Tuesday, February 16, 2010 at 5:59pmYou are very welcome. I am used to model ships and the real things.

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**Praneeith**, Tuesday, February 16, 2010 at 6:08pmcan prime other than 2and 5 3 apqrt

explain

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**Damon**, Tuesday, February 16, 2010 at 6:17pmn and n+3

If n is even (not prime), n+3 is odd

If N is odd, n+3 is even (not prime)

2 is the only even prime number, all bigger ones are divisible by 2.

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**ali**, Tuesday, February 16, 2010 at 6:19pmdamon i need to now where you got 1/3 from

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**Damon**, Tuesday, February 16, 2010 at 6:34pm(Vbig/Vsmall)^(1/3) is the cube root of the volume ratio

the volume is proportional to the scale ratio cubed.

If you have a scientific calculator

try

8^(1/3)

and see if you get 2

Most of us know by heart that 2^3 = 8 and 3^3 = 27 and 5^5 = 125

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**Damon**, Tuesday, February 16, 2010 at 6:56pmThe 1/3 power comes from if A is the scale ratio

then to get volume the x dimensions and the y dimensions and the z dimensions are all multiplied by A

So the volume of the big one is A^3 times the volume of the little one.

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**ali**, Tuesday, February 16, 2010 at 7:09pmthank you i get it now your awesome

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**Damon**, Tuesday, February 16, 2010 at 7:41pmYou are very welcome.