The only relevance of symmetry I can think of is the following, basically subdividing the litre jar into 8 smaller pieces, a little easier to calculate.
A litre jar has a capacity of 1000 cm3.
If we look at symmetry in the x-y, y-z and z-x planes, we basically cut up the volume into 8 parts, each of which has 125 cm3, or the equivalent of a 5 cm. cube.
If we think of a marble as a sphere of 1 cm diameter, we can squeeze in 5*5*5=125 marbles in each of the subdivided cubes. Hence for the litre jar, we can probably squeeze in 1000 marbles.
Tell us what you think.
(sorry I probably won't be here to answer you tomorrow morning, but other teachers can help you out)
Again Chapter one Stuff...
Discuss how the notion of symmetry could be used to estimate the number of marbles in a one-liter jar.
I'm lost I'm thinkthing somewer along the lines of counting them up nice and simple but I have no idea
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