Calc Gurren Lagann - Giant Mugann dimensions

Calculations
Because the website that hosted the images in the old calc crashed, unfortunately, and there are a few calcs I want up again for future use, which relate to just how enormous the final muganns are. Arc Gurren is roughly 5km long, or 5000m.
NJ6cJ2f.png
dve87J7.png
(Rough translation)
Final Drill said:
Arc Gurren
[Mecha/Episode 19]
Super Space Guard Daigunmen. A gunmen of the same kind as Dekabutsu sleeping in the basement of Teppelin. At the time of the war, it came down to the ground along with the big things. It is about to leave with about 180,000 inhabitants of Kamina City to leave the Earth with the approaching Moon. The total length is around 5km.
We'll start with the blue one...
F2kdVNE.png
101 pixels = 5000m
1 pixel = 5000m/101 = 49.5049505m
49.5049505m X 16 = 792.079208m
r6px5iI.gif
8 pixels = 792.079208m
1 pixel = 792.079208m/8 = 99.009901m
99.009901m X 7 = 693.069307m
99.009901m X 78 = 7722.77228m
99.009901m X 4 = 396.039604m
99.009901m X 286 = 28316.8317m
99.009901m X 12 = 1188.11881m
99.009901m X 40 = 3960.39604m
99.009901m X 21 = 2079.20792m

Volume of the top segments as trapezoidal prisms.

V = LH(A + B)/2
= 7722.77228 X 1188.11881 (396.039604 + 792.079208)/2
= 5.45083426e9m^3

Volume of the lower ones also, as trapezoidal prisms.

V = LH(A + B)/2
= 28316.8317 X 693.069307 (2079.20792 + 3960.39604)/2
= 5.92652051e10m^3

= 8.6607698e11m^3

Next for the purple one.
EqBw4l7.gif
99.009901m X 99 = 9801.9802m
99.009901m X 13 = 1287.12871m
99.009901m X 16 = 1584.15842m
99.009901m X 200 = 19801.9802m
99.009901m X 14 = 1386.13861m
99.009901m X 9 = 891.089109m

Once again, volumes of the top parts are trapezoidal prisms, but given it's a trapezoidal prism on both sides, times by two.

V = LH(A + B)/2
= 9801.9802 X 891.089109 (1287.12871 + 1584.15842)/2
= 1.25395394e10m^3

Volume of the bottom segments as rectangles, assuming they're as thick as the ones the blue mugann is comprised of.

V = lhw
= 1386.13861 X 19801.9802 X 693.069307
= 1.90235669e10 X 2
= 38047133800m^3
Because the website that hosted the images in the old calc crashed, unfortunately, and there are a few calcs I want up again for future use, which relate to just how enormous the final muganns are. Arc Gurren is roughly 5km long, or 5000m.
NJ6cJ2f.png
dve87J7.png
(Rough translation)
Final Drill said:
Arc Gurren
[Mecha/Episode 19]
Super Space Guard Daigunmen. A gunmen of the same kind as Dekabutsu sleeping in the basement of Teppelin. At the time of the war, it came down to the ground along with the big things. It is about to leave with about 180,000 inhabitants of Kamina City to leave the Earth with the approaching Moon. The total length is around 5km.
We'll start with the blue one...
F2kdVNE.png
101 pixels = 5000m
1 pixel = 5000m/101 = 49.5049505m
49.5049505m X 16 = 792.079208m
4OlFUAs.gif
8 pixels = 792.079208m
1 pixel = 792.079208m/8 = 99.009901m
99.009901m X 7 = 693.069307m
99.009901m X 78 = 7722.77228m
99.009901m X 4 = 396.039604m
99.009901m X 286 = 28316.8317m
99.009901m X 12 = 1188.11881m
99.009901m X 40 = 3960.39604m

Volume of the top segments as trapezoidal prisms.

V = LH(A + B)/2
= 7722.77228 X 1188.11881 (396.039604 + 792.079208)/2
= 5.45083426e9m^3

Volume of the lower ones as rectangular prisms.

V = lhw
= 3960.39604 X 28316.831 X 7722.77228
= 8.6607698e11m^3

Next for the purple one.
EqBw4l7.gif
99.009901m X 99 = 9801.9802m
99.009901m X 13 = 1287.12871m
99.009901m X 16 = 1584.15842m
99.009901m X 200 = 19801.9802m
99.009901m X 14 = 1386.13861m
99.009901m X 9 = 891.089109m

Once again, volumes of the top parts are trapezoidal prisms, but given it's a trapezoidal prism on both sides, times by two.

V = LH(A + B)/2
= 9801.9802 X 891.089109 (1287.12871 + 1584.15842)/2
= 1.25395394e10m^3

Volume of the bottom segments as rectangles, assuming they're as thick as the ones the blue mugann is comprised of.

V = lhw
= 1386.13861 X 19801.9802 X 693.069307
= 1.90235669e10 X 2
= 38047133800m^3

Not going to bother with the antannae on top. Now we have the volume of each component block, how many blocks?
Sq81RR8.gif
99.009901m X 59 = 5841.58416m

The blue one has 18 rectangular blocks, while there are 18 trapezoidal blocks, so that can stay the same. Meanwhile the pink one has at least 11 to the middle of rectangular blocks, while there are 14 to the middle trapezoidal blocks on the top. That should cover half the blue trapezoidal blocks, so we'll times that by 2; as well as a quarter of the purple rectangular blocks, so we'll times that by 4; and a quarter of one of two layers of the purple trapezoidal blocks, or an eighth, so we'll times that by 8. First the blue mugann...

V = 5.92652051e10 X 18
= 1066773691800m^3

V = 5.45083426e9 X 18
= 98115016680 X 2
= 196230033360m^3

V = 1066773691800 + 196230033360
= 1263003725160m^3

...Then the purple mugann.

V = 38047133800 X 11
= 418518471800 X 4
= 1674073887200m^3

V = 1.25395394e10 X 14
= 175553551600 X 8
= 1404428412800m^3

V = 1674073887200 + 1404428412800
= 3078502300000m^3

The component parts of the giant muganns are dense enough to smash apart grapearls by crashing into them...
...so they would be pretty dense. We'll use aluminium for our low end (which weighs 2600kg/m^3) and steel for a high end (which weighs 7850kg/m^3). Once again we'll start with the blue mugann...

(Low end)
M = 1263003725160 X 2600kg
= 3.28380969e15kg

(High end)
M = 1263003725160 X 7850kg
= 9.91457924e15kg

...then have the purple one...

(Low end)
M = 3078502300000 X 2600kg
= 8.00410598e15kg

(High end)
M = 3078502300000 X 7850kg
= 2.41662431e16kg

...and finally, we'll do the final mugann, that's both of the giant muganns combined together.

(Low end)
M = 3.28380969e15kg + 8.00410598e15kg
= 1.12879157e16kg

(High end)
M = 9.91457924e15kg + 2.41662431e16kg
= 3.40808223e16kg

To finish off, let's get the total height of the giant muganns.
duCl32h.gif
99.009901m X 378 = 37425.7426m (37.4257426km)
99.009901m X 322 = 31881.1881m (31.8811881km)

Final Drill states the giant muganns are several dozen kilometers in size...
RgH0CBg.jpg
(Box on the upper right page)
Final Drill said:
A huge mugann that appeared in front of Arc Gurren Lagann and extends over several dozen km.
...so this is pretty consistent with that. To finish off, let's also get the size of the final mugann.
h7oS0cD.png
90 pixels = 5841.58416m
1 pixel = 5841.58416m/90 = 64.9064907m
64.9064907m X 849 = 55105.6106m (55.1056106km)

Final Results
Giant Blue Mugann's mass (low end) = 3.28380969e15kg
Giant Blue Mugann's mass (high end) = 9.91457924e15kg
Giant Purple Mugann's mass (low end) = 8.00410598e15kg
Giant Purple Mugann's mass (high end) = 2.41662431e16kg
Final Mugann mass (low end) = 1.12879157e16kg
Final Mugann's mass (high end) = 3.40808223e16kg
Giant Blue Mugann height = 37.426km
Giant Purple Mugann height = 31.881km
Final Mugann's length = 55.106km

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