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Problem of the Month - January 2025

You have a cube that has a side length of 5 cm.  You want to cover it completely with cubes that have a side length of 1 cm so that you have a new, larger cube.  How many 1 cm cubes will you need?  


Solution:

You will need 218 one cm cubes.  The side length of the new cube will be 7 cm, so the number of cubes can be found by evaluating 7x7x7-5x5x5=218.  

 

What if the original cube had a side length of 6 cm?

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