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
Which one of the following statements best reflects the critical message conveyed by the author of the passage?
With reference to the above passage, the following assumptions have been made:
I. No country needs to depend on ecosystems to boost national income.
II. Resource-rich countries need to share their resources with those of scant resources so as to prevent the degradation of ecosystems.
Which of the above assumptions is/are valid?Which one of the following statements best reflects the central idea of the passage?
With reference to the above passage, the following assumptions have been made:
I. Path-dependent green investments will eventually most likely benefit growth as well as public finances in a country like India.
II. If other green technologies follow the same pattern as that of solar energy, there will most likely be an easy green transition.
Which of the above assumptions is/are valid?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)?
