What is the maximum number of identical pieces a cube can be cut into by 13 cuts.a. 120 b. 140 c. 180 d. 150
Question
What is the maximum number of identical pieces a cube can be cut into by 13 cuts.a. 120 b. 140 c. 180 d. 150
Solution
To find the maximum number of identical pieces a cube can be cut into by 13 cuts, we can use a formula.
The formula for finding the maximum number of identical pieces that can be obtained by n cuts is given by (n^3 + 5n + 6)/6.
Plugging in n = 13 into the formula, we get (13^3 + 5*13 + 6)/6 = (2197 + 65 + 6)/6 = 2268/6 = 378.
Therefore, the maximum number of identical pieces a cube can be cut into by 13 cuts is 378.
None of the given options (a. 120, b. 140, c. 180, d. 150) match the correct answer.
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