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A possible start to work on the expansion of brackets in algebra.
It enables students to make links with shape and space and with arithmetic.
A useful follow-up to this problem could be Multiplication square and Cubes within Cubes revisited
Partitioning Revisited
Age 11 to 14
Challenge Level 
A possible start to work on the expansion of brackets in algebra.
It enables students to make links with shape and space and with arithmetic.
A useful follow-up to this problem could be Multiplication square and Cubes within Cubes revisited
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Cubes Within Cubes Revisited
Imagine starting with one yellow cube and covering it all over with a single layer of red cubes, and then covering that cube with a layer of blue cubes. How many red and blue cubes would you need?