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
Question
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
Solution 1
To find the maximum number of identical pieces a cube can be cut into by 15 cuts
Solution 2
To find the maximum number of identical pieces a cube can be cut into by 15 cuts, we can use the formula:
Maximum number of pieces = (Number of cuts + 1)^3
In this case, the number of cuts is 15. So, we can substitute this value into the formula:
Maximum number of pieces = (15 + 1)^3 Maximum number of pieces = 16^3 Maximum number of pieces = 4096
Therefore, the maximum number of identical pieces a cube can be cut into by 15 cuts is 4096.
None of the given options (a. 125, b. 216, c. 64, d. 353) match the correct answer.
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