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You could use Multilink cubes to try out your ideas.
Remember, once the shape is made there is no picking it up to count "underneath" as these faces would not be painted!
Investigate the area of 'slices' cut off this cube of cheese. What would happen if you had different-sized block of cheese to start with?
Choose a box and work out the smallest rectangle of paper needed to wrap it so that it is completely covered.