A cube of edge 3 cm is cut into N smaller cubes, not all the same size. If the edge of each of the smaller cubes is a whole number of centimeters, then what is the value of N?

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Answer 1 · 2017-07-22T10:07:16

The value of #N=20#

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The cube of side #3cm# can be cut into

#3^3=27# cubes of side #1cm#

If one cube is of side #2cm# which is equivalent to

#2^3=8# cubes of side #1cm#

Therefore,

#N=1+(27-8)=1+19=20#