Thursday, April 30, 2015

Musings on the Weight of a Gelatinous Cube

If a gelatinous cube is 10 cubic feet in volume, then it's 283,168 cubic centimetres in volume.

Assuming a density of 1.3g/cm^3 (density of scientific gelatin), that's 368,118 grams, which is 811 pounds.

For a gelatinous cube to weigh more than 15,000 pounds as Paizo and Forgotten Realms seem to suggest, it would be 6,810,000 grams in weight, which, given the 283,168 cubic centimetres of the cube, would make it have a density of 240g/cm^3 or 240,000kg/m^3.

For reference, that's about thrice as dense as bronze, twice as dense as silver and a good 5000 more kilograms per cubic metre on gold. Tell me, did your silverware ever slip out of your hand like jello?

I mean, I suppose it works if your world has a nice low gravity (that would explain all the giant bugs not being crushed by their own weight)... but seriously, why the hell do you need a 15,000 pound cube? That might as well just be a rock. 811 pounds and density that can actually allow solids to pass is good enough for me.

HUMBLING MATHEMATICAL UPDATE: Maximillian remarked in the comments that the typically understood volume of a gelatinous cube is 1000 cubic feet, given that the cube is 10 feet by 10 feet by 10 feet (you'll notice that the cube root of 10 - the length, width and depth of a 10 cubic foot cube - makes for a somewhat difficult to measure cube). I agree with the logic of his comment (although I'll need more help to see how he got 7,774 lbs). Hence, some adjustments should be made:

The cube is 28,316,847 cubic centimetres in volume (converting 1000 cubic feet to cubic centimetres). With the same density as before, that's 36,811,901 grams or 81,156 pounds. Talk about a big change.

With a volume that large, the 15,000-pound cube also ends up having a density of 0.240g/cm^3 or 240kg/m^3. That's actually a quarter as dense as water. Seems a bit weird still, but a lot less weird than before.

Humorously, if you use Alexis' hit points per die mass system like me, your cube just went from having up to 40 hit points to having up to 120. Scary!

2 comments:

  1. It took me a while to figure out why your math seemed off, before I realized that you're talking about a 10 cubic foot jelly (2.5 x 2 x 2) where I'm thinking of a 10x10x10 foot jelly (1000 cubic feet, or ~7774 lbs)

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