median
don steward
mathematics teaching 10 ~ 16

Sunday 13 March 2011

stick rules

a student's work on the surface area/volume ratio for cuboids with a 1 by 1 square cross section and increasing lengths (L)




















volumes and surface areas are of 1 by 1 by L 'sticks'

looking at the fraction of the surface area / volume (or length)

what happens to this fraction as L gets larger?
why is that ? [the small ends don't matter when the length is large]

what happens for other square sections for cuboids?
(e.g. 2 by 2 by L)

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