Which is the least possible number of cuts required to cut a cube into 64 identical pieces?
9
To divide the cube into 64 identical pieces, it must be cut into dimensions of 4 x 4 x 4. The minimum number of cuts needed for each of the three perpendicular faces is as follows:
Top-to-bottom cuts on the top/bottom face: 3 cuts
Left-to-right cuts on the left/right face: 3 cuts
Front-to-back cuts on the front/back face: 3 cuts
Therefore, the least number of cuts required to divide the cube into 64 identical spaces is 3 + 3 + 3 = 9 cuts.
Important Questions from Miscellaneous Topics
A natural number N is such that it can be expressed as N = p + q + r, where p, q and r are distinct factors of N. How many numbers below 50 have this property?
Three prime numbers p, q and r, each less than 20, are such that p − q = q − r. How many distinct possible values can we get for (p + q + r)?
Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the author of the passage?
With reference to the passage, the following assumptions have been made:
I. Green energy production can be linked to/integrated with the climate change mitigation and adaptation strategies.
II. Effects of climate change are much more severe in coastal and mountainous regions.
Which of the above assumptions is/are valid?Which one of the following statements best reflects the critical message conveyed by the passage?
