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In the most recent manga chapter (chaper 39) of Kumo desu ga Kumoko's Mother decided to leave the great labyrinth.

And since she is too big to use the normal passages she simply makes a new one.

Doesn't seem too impressive for a being that can blow up moutains? That's because Kumo desu ga easily tricks ones sense of scale!

Depth

You see, when she made that hole Mother was in the bottom layer of the Great Elroe Labyrinth:

And the bottom layer is veeeery deep underground. The middle layer alone has things like 200m deep lava pools and 1 meter tall monsters are small in the Labyrinth.

However, we can get a better idea of how deep it is. That is because we have a map of the Labyrinth and a statement regarding the maps area:

The map in the middle shows exactly the area Kumoko has traversed in her time in the labyrinth. That much we can confirm simply by following the stories plot. The map itself is generated via a high level skill, so we also know that in-universe it is supposed to be accurate.

As she states this area is as big as Hokkaido, Japans 2nd largest island. This is something that doesn't just appear in the manga, but is also mentioned in the novel at multiple points.

Now the area of Hokkaido is 83423.84 km^2.

Considering that a circle has the highest surface area per diameter we can say that the map should be around pi*(d/2)^2 = 83423.84 km^2 => d = 2*sqrt(83423.84/pi) = 325.91 km wide.

325.91 km = 1500 px = red line

=> 136.8822 km = 630 px = blue line



So the Great Elroe Labyrinth has a depth of 136.8822 km = 136882.2m, which would be the depth of Mothers hole.

Width

MotherSize
Next we need to figure out the width of the hole.

The perspective doesn't allow us any good scaling, but since Mother leaves through it its diameter should be larger than Mothers. So we will scale her.

For that I will use the scaling I have already done in this calc.

In that calc we find that the green line in the picture to the right is 1.554285714285714304m long.

8.6 px = 1.554285714285714304m = green line

Mother width = red line = 149 px = 26.928903654485050150715m

So the hole mother produced should be at least 26.93m in diameter.

Volume

Modelling the hole as a cylinder we get pi*(26.928903654485050150715/2)^2*136882.2 = 7.79604259084924529291036164e7 m^3 in volume.

However, there are clearly caves in that stone which we need to subtract. Since these are natural caves I will assume 20% hollowness.

0.8*7.79604259084924529291036164e7 m^3 = 62368340.72679396234328289312 m^3 = 6.23683407267939623e13 cm^3

Necessary Energy

Now for the destruction method. We see smoke or dust after the beam and otherwise nothing remaining. Since we have seen Mothers beam attack vaporize stuff before I will assume it's vaporization.

Vaporization of stone is 25700 J/cm^3

6.23683407267939623e13*25700 = 1.6028663566786048e18 J

Mountain level

The epitome of consistency!

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