What is the maximum number of identical pieces a cube can be cut into by 15 cuts.
a. 125 b. 216 c. 64 d. 353
(a−1)+(b−1)+(c−1)=15(a - 1) + (b - 1) + (c - 1) = 15(a−1)+(b−1)+(c−1)=15
a+b+c=18a + b + c = 18a+b+c=18
To calculate the total number of pieces = a×b×c
a = b = c = 6
6 × 6 × 6=216