Calc Ruby Gillman, Teenager Kraken, part 1

1. Ruby's height

Ruby is 300 feet tall, or 91.44m.

KDM: We were really excited. It was probably the most pushed animation that we've had at DreamWorks with that squash and stretch. It was really organic. Our cephalopod-derived creatures. What was also really fun was giving the opportunity of telling their story through each one. Mom Agatha is the most on the book about being a human — the most upright with the way she carries herself. Dad [Arthur] is a little more loose. And the boy Sam (played by Blue Chapman) is still just a boy with a lot of energy and is bouncing around and probably not behaving the way he should be in school. Ruby, as a teenager, has this arc where she's going from a girl who is hiding in her hoodie and is a little scared of who she is and showing the world who she is — to being a 300-foot tall glowing beacon of hope and light for everyone to find their inner power.

Click to expand...

975 pixels = 91.44m
1 pixel = 91.44m/975 = 0.0937846154m
0.0937846154m X 118 = 11.0665846m
0.0937846154m X 319 = 29.9172923m

2. Boulder smacks into Ruby's face


Ruby is smashed in the face by a huge boulder. Scaling from Ruby's face to the closest shot of the boulder to her.
121 pixels = 11.0665846m
1 pixel = 11.0665846m/121 = 0.0914593769m
0.0914593769m X 608 = 55.6073012m
0.0914593769m X 283 = 25.8830037m
0.0914593769m X 187 = 17.1029035m

The fragment looks vaguely rectangular, so we'll go with a rectangular prism.

V = lhw
= 55.6073012 X 25.8830037 X 17.1029035
= 24615.9351m^3

It's hard to tell if the boulder is violently fragmented or just fragmented, as she's travelling in a fast current, so we'll have a low end and a high end of both.

(Low end)
E = 24615.9351 X 8000000
= 196927480800 joules
= 47.0667975143403 tons of TNT

(High end)
E = 24615.9351 X 69000000
= 1698499521900 joules
= 405.9511285611854 tons of TNT

3. Ruby laser eyes a boulder


Ruby destroys several boulders as big as herself with her laser eyes.
412 pixels = 91.44m
1 pixel = 91.44m/412 = 0.221941748m
0.221941748m X 379 = 84.1159225m
84.1159225m/2 = 42.0579612m
0.221941748m X 228 = 50.6027185m
50.6027185m/2 = 25.3013593m

Volume as an ellipsoid.

V = 4/3πabc
= 4/3 X π X 42.0579612 X 25.3013593 X 25.3013593
= 112778.038m^3

Even in the current, the way the fragments are sent flying is definately violent fragmentation.

E = 112778.038 X 69000000
= 7.78168462e12 joules
= 1.859867260994264 kilotons

4. Nerissa smacks Ruby


Nerissa smacks Ruby and sends her flying into a boulder even bigger than herself, breaking it.
459 pixels = 91.44m
1 pixel = 91.44m/459 = 0.199215686m
0.199215686m X 813 = 161.962353m
161.962353m/2 = 80.9811765m
0.199215686m X 734 = 146.224314m
146.224314m/2 = 73.112157m

Volume as an ellipsoid.

V = 4/3πabc
= 4/3 X π X 80.9811765 X 73.112157 X 73.112157
= 1813225.78m^3

It splits apart fast at first, but then the fragments hang there, so we'll go with fragmentation.

E = 1813225.78 X 8000000
= 1.45058062e13 joules
= 3.4669708891013382 kilotons