i 💙 bed

Anyways. First scenario. Going by the most common species in my locale we'll say this ant is a carpenter ant Camponotus spp. Weight ranges vastly but for simplicity we'll say this ant weighs 3mg. Assuming this abt eats like a regular ant about 33% of its body weight each day, let's say it eats 1mg/day.

The weight of an original model ps2 is 2.2kg. Thats 2,200,000 mg. Assuming this ant eats at the same pace every day and can digest my PS2, it would take a little over 6,027 calendar years for a single ant to eat my entire ps2.

However, I like to believe that I would notice before my ps2 was completely gone. Let's say, a corner gone.

The PS2 has a height of 78.7 mm, a width of 302.3 mm, and a depth of 182.9 mm

The bottom and top part of the ps2 are roughly the same size, so that gives us a height of 39.35mm.

I have drawn in red a square equal to roughly 39.35sq mm

However, we are trying to find a tiny fraction of that. The area in purple is roughly the amount I believe it would take me to notice my PS2 being eaten by a single ant. As you can see by my attached diagram, I have little faith in myself. Please note that I am doing this shit on my phone so my cube is weird. Die mad about it.

To find the area of the cube I will use a few different reference points. The USB port on the ps2 is a standard type A with a width of 12.0mm and a height of 4.5mm. Comparing the height of the USB port to The Cube we can see it is almost exactly 4.5mm.

The volume of a cube is V=a^3 whereas a is the length of one side, so 4.5x4.5x4.5=91.125mm^3

If density=mass/volume, then mass=densityxvolume.

To figure out the mass of The Cube, we need to also know the density of a PS2. For simplification purposes we will assume our cube is solid and made of one material.

Some research tells me that the PS2 outer shell is usually made from ABS (Acrylonitrile Butadiene Styrene) plastic. ABS plastic ranges in density from 0.9–1.53 g/cm3. For simplicity we will use the median density of 1.07 g/cm3. g/cm^3 and mg/mm^3 are a 1:1 ratio so we don't need to do any conversion.

91.125mm^3 X 1.07mg/mm^3 = 97.504 mg

The total mass of the cube is 97.504mg.

However, we would also need to add the mass of the two outside faces. To do so we need the Area and Area Density. We already have our area of 4.5sq mm. To find area density we need to divide the mass of the face by the area of the face. To find the mass of the face is a...process. Since you can't just slice the cube and weight it like you would for paper, you first need to calculate number density (particles per area)

Number Density (Areally) = Total Number of Particles (N) / Total Surface Area (A) 

Since I don't have access to ABS plastic or a microscope to count particles, I have decided to simply not fucking do that just for a joke.

i am the administrator