What is the maximum number of smaller identical pieces a cube can be cut into by making 13 cuts?a.150b.120c.80d.180
Question
What is the maximum number of smaller identical pieces a cube can be cut into by making 13 cuts?a.150b.120c.80d.180
Solution
The maximum number of smaller identical pieces a cube can be cut into by making 13 cuts can be calculated using the formula n^3 - n^2 + n + 1, where n is the number of cuts.
Step 1: Substitute n = 13 into the formula.
Step 2: Calculate 13^3 - 13^2 + 13 + 1.
Step 3: The result is 2197 - 169 + 13 + 1 = 2042.
So, none of the options a.150, b.120, c.80, d.180 is correct. The correct answer is 2042.
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