Calc Gurren Lagann - Mugann destruction blast

From episode 18, Leeron and Rossiu discuss the data analysed on the Muganns.

Episode 18 - Tell Me The Secrets Of This World said:

Leeron: This is data we got from Gimmy and Darry. It looks like a powerful energy field is erected around the body. That energy barrier neutralizes our attacks.

Kittan: Then we just need to hit it with more power than it can handle!

Leeron: We can't do that. You saw that huge explosion, right? A Mugann is essentially comprised entirely of explosives. When the energy field goes down and it stops functioning, the entire body converts into energy in a split second.

Rossiu: Its molecular structure is that unstable?

Leeron: That would make spatial transference easier, don't you think?

Click to expand...

To make their mass production and teleportation between dimensions easier, Muganns have an incredibly unstable molacular structure, and if the force field protecting it is dissipated, it turns to energy and unleashes great devastation. This also helps the Anti-Spiral to inflict despair upon their enemies. I calc'd Gurren Laganns body (minus its legs) to be 12.789m tall previously.
70 pixels = 10.5446154m
1 pixel = 10.5446154m/70 = 0.150637363m
0.150637363m X 176 = 26.5121759m

Now to start scaling the Mugann (this is going to be fidelly as fuck)...
299 pixels = 26.5121759m
1 pixel = 26.5121759m/299 = 0.0886694846m
0.0886694846m X 8 = 0.709355877m
0.0886694846m X 108 = 9.57630434m
9.57630434m/2 = 4.78815217m
0.0886694846m X 37 = 3.28077093m
0.0886694846m X 23 = 2.03939815m
0.0886694846m X 34 = 3.01476248m
0.0886694846m X 5 = 0.443347423m
0.0886694846m X 13 = 1.1527033m
26.5121759m/2 = 13.2560879m

204 pixels = 26.5121759m
1 pixel = 26.5121759m/204 = 0.129961647m
0.129961647m X 23 = 2.98911788m
0.129961647m X 191 = 24.8226746m
0.129961647m X 123 = 15.9852826m

The cube parts.

V = 2.98911788^3
= 26.7072473 X 2
= 53.4144946m^3

The top part of the front bit (trapezoidal prism).

V = LH(A + B)/2.
= 2.98911788 X 24.8226746 (0.443347423 + 2.98911788)/2
= 127.340859m^3

0.0886694846m X 170 = 15.0738124m
0.0886694846m X 16 = 1.41871175m
0.0886694846m X 28 = 2.48274557m
0.0886694846m X 59 = 5.23149959m
0.0886694846m X 17 = 1.50738124m
0.0886694846m X 38 = 3.36944041m
0.0886694846m X 30 = 2.66008454m
15.0738124m/2 = 7.5369062m

Size of the radar (assuming each rectangle is 1 cm thick).

V = lhw
= 3.36944041 X 2.66008454 X 0.01
= 0.0896299634 X 4
= 0.358519854m^3

Size of the top disc (with the middle taken out as another cylinder).

V = πr2h
= π X 13.2560879^2 X 0.709355877
= 391.601904m^3

V = πr2h
= π X 7.5369062^2 X 0.709355877
= 126.590252m^3

V = 391.601904m^3 - 126.590252m^3
= 265.011652m^3

Size of the side bendy things (triangular prism, then as they all look similar in size, times by 4 for each).

V = 8.97m^3 X 4
= 35.88m^3 X 2
= 71.76m^3

0.0886694846m X 36 = 3.19210145m
0.0886694846m X 27 = 2.39407608m
2.39407608m/2 = 1.19703804m
0.0886694846m X 93 = 8.24626207m
0.0886694846m X 72 = 6.38420289m

Size of the small thingys connected to the things at the back (ellispoids).

V = 4/3πabc
= 4/3 X π X 4.78815217 X 1.19703804 X 1.19703804
= 28.7390533 X 2
= 57.4781066m^3

Size of its main body as a triangular pyramid.

V = b1 X h1 X h/6
= 6.38420289 X 3.19210145 X 8.24626207/6
= 28.0084611m^3

There's more fiddilly stuff, but screw it (plus that would just mean the final result is even higher).

V = 53.4144946 + 127.340859 + 0.358519854 + 265.011652 + 71.76 + 57.4781066 + 28.0084611
= 603.372093m^3

First for the absolute low end to demonstrate just how impressive mass-energy is, using the values of aerogel. Aerogel weighs 1.5kg per m^3.

M = 603.372093 X 1.5
= 905.058139kg

E = mc^2
= 905.058139 X 299792458^2
= 8.13425689e19 joules
= 19.441340559273424304 gigatons

Seeing as though the giant Mugann was smacking apart grapearls with its parts flying into them...
...that suggests they're made of some kind of metal. Values here.

(Using aluminium)

M = 603.372093 X 2600
= 1568767.44kg

E = mc^2
= 1568767.44 X 299792458^2
= 1.40993786e23 joules
= 33.69832361376673191 teratons

E = 2772284.19

(Using steel)
M = 603.372093 X 7850
= 4736470.93kg

E = 4736470.93 X 299792458^2
= 4.25692778e23 joules
= 101.74301577437857702 teratons

Final Results
Mugann diameter = 26.512m
Muganns destruction blast (low end) = 19.441 gigatons
Muganns destruction blast (mid end) = 33.698 teratons
Muganns destruction blast (high end) = 101.743 teratons