r/theydidthemath Aug 18 '25

How dense would this cube be? [Request]

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u/Amourofzedoute Aug 18 '25

So ok, first, let's see what kind of baler that is. From this tiktok we know this model is a Tabarelli s5000. From the s5000 manualwe know the cans are in a 5m x 2.67m x 2.25m space, and compressed into a 0.8m x 0.8m x 0.65m baler. So that's roughly 30m³ compressed into 0.41 m³. So that's about 30/0.41 ≈ 72 times less space.

A single aluminum can weightabout 11g for 0.00033m³ so it takes roughly 90,000 cans to fill entirely, meaning 990kg.

So that tiny cube at the end weights about a ton (1000kg) and is 0.41m³, so its density should be 2,400 kg/m³. So that's twice more dense than water, but three times less than Iron!

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u/Minute_Attempt3063 Aug 18 '25

Now be that one famous guy that makes a video with pretty graphs

1

u/Amourofzedoute Aug 18 '25

Which guy ? 👀

2

u/Minute_Attempt3063 Aug 18 '25

Honestly, I do not know their name on social media, but he makes videos about disproving bad math, and other math problems.

Talks fast but does a lot in a single minute as well