For The Size Enthusiasts Who Also Like Math and Science

Hello All,

I'm a scientist (Chemistry and Mathematics double major) by training and am starting to incorporate more scientific analysis in my shrinking man short stories. We all know how tall we'd like to be, whether it's 1 inch, 6 inches, 100 ft, etc. but do we have any idea how much we'd weigh at those different heights? Here's my take on how calculating a tiny person's mass would work, please feel free to jump in with comments/critiques as I am just throwing ideas out there.

My real height and weight: 5'10" (70 inches), 240 lbs.
My desired height: 2 inches (2.85% of my actual height).

My new weight would not be 2.85% of my initial weight (240 lbs) because that would make me 2 inches tall and 6.8 lbs, lol.

The theory I have is that we have to think of the human body in 3 dimensions so it's not just 2.85% of my height but also 2.85% of my width and 2.85% of my depth. By this logic, my new weight would actually be (2.85%)^3 of 240 lbs. This would calculate to 2.31E-5 x 240 lbs = 0.0055 lbs. It would be more convenient for someone who weighs this little to use a unit of mass like grams rather than lbs. There are 454 grams in 1 lb so 0.0055 lbs would be equivalent to about 2.49 grams. This weight sounds much more realistic for someone who is 2 inches tall.

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This should also remain true if I wanted to grow a lovely lady.

Her real height and weight: 5'5" (65 inches), 165 lbs.
Her desired height: 100 feet (A modest 1846% of her actual height!).

Using the same math we used for tiny ol' me, her weight should be (1846%)^3 of 165 lbs. This would calculate to 6290.64 x 165 lbs = 1.037E+6 lbs. It would be more convenient for someone who weighs this much to use a unit of mass like tons rather than lbs. There are 2000 lbs in 1 ton so 1.037E+6 lbs would be equivalent to about 518.9 tons.

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Final equation (Shrunken Man): New Weight (in grams) = (Desired Height/Actual Height)^3 x Actual Weight (in lbs) x 454.

Final equation (Giantess): New Weight (in tons) = (Desired Height/Actual Height)^3 x Actual Weight (in lbs) / 2000.

I'd be curious about what others think of this and if this is something that is common knowledge and I'm just discovering it now because that happens quite often, lol.

Keep Pressing,

"How much do these tits weigh, Al? Can't you calculate it? Al...?"