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Rectangular Storage Unit: Effect of Changing Dimensions Upon Volume and Number of Solutions

A rectangular storage unit has dimensions 1 m by 2 m by 3 m. If each linear dimension is increased by the same amount

a) what increase would create a new storage unit with a volume 10 times the original
b) how many solutions are there to this problem? please explain why?

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Original volume = 1*2*3 = 6 m^3
If each dimension is incresde by x m,
New Volume = (x+1)*(x+2)*(x+3) = x^3 + ...

Solution Summary

This solution answers two questions addressing the volume and linear dimension of a rectangular storage unit.