Tuesday 16 March 2010

How many marbles can you fit into an old mini?

OK so to answer this we need to know how much volume is inside an old mini in litres and then how many marbles can fit into a litre Then we simply multiply by the number of litres we think a mini can hold.

OK so how many litres can a mini hold? One way to calculate this would be to take a plaster cast of the inside of the car then take the cast and dump it in fresh water. This would give us it's displacement. As this is a thought experiment that is not realistic!

I have a rucksack that can hold 20 litres in volume. I estimate that if I were to try and fill up an old mini with a multiple of these rucksacks and that the rucksacks were very 'giving' i.e. filled up all available space, excluding volume of space taken up by seats and interior parts to the car, I think I could get about 4 in the boot, about 4 in the back seat and about 4 in the front seat. Total 12 bags. This feels a bit under though as I mentioned the bags can fit in the space perfectly ..so say 15 bags total. So 15 x 20 = 250 litres total in the mini.

Right so how many marbles in a litre? A litre is a metric measurement and I think is 1,000th of a cubic m squared. The mini would be .25 cubic meter squared.

From memory an average marble is around 1 cm in diameter. If you think about how marbles sit in a jar there is actually space between them which we need to discount. So I would estimate ten marbles in a row would be say 10 cm long. 10 rows of marbles would be 100 marbles in a slab. Then 10 times this 100 marbles would give us 1000 marbles in a litre.

So this feels a little high but lets do the sum anyway - 1000 x 250 = 250,000 marbles in an old mini.

OK lets check this...later!

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