trapezium area and quadratic | don steward

based on
exercises in algebra
part three
H.F.Browne
1936

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search for unusual cuboids | don steward

this involves work on the surface area and volume of a cuboid
the powerpoint is here

there are three tasks:

same volume and surface area, different cuboidsadding 1 to each of the dimensions, doubles the volumecuboids with the same value for the surface area and the volume (see lovely cuboids for a slightly different approach)task 1

different cuboids with the same surface area and volume

factors of the volume can be used to narrow the search

task 2

cuboids that double in volume when 1 is added to their dimensions

task 3

same value for surface area…

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