Question 705679: A cuboid of dimensions 50cm*40cm*30cm is cut into k cubes.what is the least possible value of k?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The side of the k cubes (in cm) must be a divisor of 50, 40, and 30.
The greatest common divisor is 10, so 10cm is the side measure of the largest cubes we can make.
The least number of cubes, correspond to the largest cube size and will be
 because we will have 5, 4 and 3 cubes to a side that's 50, 40, and 30cm long respectively.
Alternately, the volume of the cuboid, in  , is 
and the volume of a cube with 10cm sides, in , is  ,
so the number of cubes is
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