THE NEW MATH: Calculating Weight after growth/shrinking
THIS IS A FOLLOW-UP TO THIS POST
I now know where I screwed up here. That’s what happens when you try to Math 10 years out of complex math classes. XD
I for some reason got it in my head that Mass and Volume were the same thing. This is not true. In fact, you need Mass to calculate Volume. The missing piece in all this was Density. The equation for Volume is shown here for reference:
So you still need the objects Mass, because what the equation I gave finds is volume. The best way to do this would be knowing the object’s (in this case, you/the character) weight. You’ll need to measure weight in grams. The Average human body has a density of 1 gram per cubic centimeter. This is important, and we’ll come back to this later.
First, find the character’s weight, then convert it to grams. You can google this, but for the calculation nerds:
So using the same dimensions of 76″ in height, 175 pounds, we get:
So, that’s our Mass. Or rather, mine. Now we take this and our 1 g/cm3 and plug them into the equation.
The change into feet can be done by dividing your mass in grams by 28,316.8. That is the number of cubic centimeters per cubic foot, and gives us a Volume in ft. Which is what we want.
NOW. We come back to our original Square-cube Law equation, and plug in our values.
Now we have the Volume at the new Height. Which is kind of awesome. Because now we can figure out the mass of the new height. We need to take this number and multiply it by 28,316.8, which will convert it back to cubic centimeters! That gives us 4,653,952,446.24 cm3.
So! Back to our friend, the Volume formula.
We can change this around to help us solve for “m” (Mass) using basic algebraic properties. Multiply each side of the equation by “D” (Density), like so:
You end up with the equation for Mass, which equals Density times Volume. Next, we plug in our V2 solution for V here, and remember that average human density is 1g per cubic centimeter. THE CENTIMETER VALUES IN THE EQUATION WILL CANCEL EACH OTHER OUT, giving you your answer in grams.
Then, we divide this back by 453.6 to convert it back to pounds, and/or use google to cheat and find tons.
And there you have it. The weight comes out a bit heavier than my original calculations, because I forgot the most important part.
So yeah, CORRECT MATH has a few more equations at you. Sorry if I lost people, but I needed to correct myself because that was an atrocious error. XD
You are now free to discard or use this information as you see fit.
