Maths time!

[Supertom]

OK gents, here's an interesting maths question:

How does one calculate a scaled up volume? So in this case, an F-16 wing tank, which in 1:1 scale, is 1564 litres or 370 gallons. If I scaled up a 1:72 F-16 370 gallon tank to 1:48 size, what would the corresponding increase in volume total up to in 1:1? In other words, I was wondering what the 1:1 volume of a drop tank would be, if the drop tank were a 1:48 sized item on a 1:72 model.

I tried doing the calculation and I could partially see a path to the solution, but couldn't quite grasp it.

[TomZ]

OK gents, here's an interesting maths question:

How does one calculate a scaled up volume? So in this case, an F-16 wing tank, which in 1:1 scale, is 1564 litres or 370 gallons. If I scaled up a 1:72 F-16 370 gallon tank to 1:48 size, what would the corresponding increase in volume total up to in 1:1? In other words, I was wondering what the 1:1 volume of a drop tank would be, if the drop tank were a 1:48 sized item on a 1:72 model.

I tried doing the calculation and I could partially see a path to the solution, but couldn't quite grasp it.

If you take 1564 litres for the 1:1 version, then the 1/48 version would be 1564 / 48 / 48 / 48 (0r 48^3) = 0,0141litre
If you would assume that to be 1/72 and scale it up it would be 0,0141 x 72 x 72 x 72 = 5.278,5 litres

I think........

TomZ

[Hobbes]

The difference between the two scales is 72/48. This applies for each dimension. You're scaling up a 3-dimensional object, so your new volume is (72/48)^3 times the old volume.

[Supertom]

Thanks guys!