What is the minimum number of cuts required to cut a cube into 24 identical pieces?a.6b.3c.5d.4
Question
What is the minimum number of cuts required to cut a cube into 24 identical pieces?a.6b.3c.5d.4
Solution
The minimum number of cuts required to cut a cube into 24 identical pieces is 3.
Here's the step-by-step explanation:
- The first cut will divide the cube into two equal halves, resulting in 2 pieces.
- The second cut, perpendicular to the first one, will also divide the cube into two equal halves. Now, each of the initial halves is divided into two, resulting in 4 pieces in total.
- The third cut, perpendicular to both the first and the second one, will again divide the cube into two equal halves. Now, each of the 4 pieces is divided into two, resulting in 8 pieces.
However, each cut is through two layers of the cube (since we are cutting the whole cube, not just the pieces from the previous cut). Therefore, each cut actually produces twice as many pieces as described above. So, after 3 cuts, we have 222*2 = 24 pieces.
So, the correct answer is b. 3.
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