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April 29th, 2018, 05:14 AM   #1
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Please somebody explain the solution

Find the least number of cuts required to cut a cube into 240 small identical pieces.

Solution:



240 = find nearest cube value

216 = 6 is near cube

Divide 240 with 6 = 40.

40 mean 8 x 5.

Number of cuts = 5 + 7 + 4 = 16.
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April 29th, 2018, 10:34 AM   #2
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Buy a cheese cube and start cutting it...
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April 29th, 2018, 10:56 AM   #3
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You have been given the solution. What is it that you do not understand?
Thanks from greg1313 and Denis
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April 29th, 2018, 06:28 PM   #4
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Why we must take 5 x 8 ? Can I take 2 x 20 or 4 x 10 also?

Last edited by skipjack; April 30th, 2018 at 07:34 AM.
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April 30th, 2018, 07:13 AM   #5
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Quote:
Originally Posted by Ganesh Ujwal View Post
Why we must take 5 x 8 ? Can I take 2 x 20 or 4 x 10 also?
The lengths given are 6 X 8 X 5. That is the relevance of 5 and 8 (and 6, of course, is also relevant). The lengths 10 and 2 and 4 and 20 are not relevant because they are not lengths of the given cube

I truly suggest that you follow Denis's advice and ask your mother to show you how to dice an onion.

Last edited by skipjack; April 30th, 2018 at 07:33 AM.
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April 30th, 2018, 07:57 AM   #6
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Quote:
Originally Posted by Ganesh Ujwal View Post
Why we must take 5 x 8 ? Can I take 2 x 20 or 4 x 10 also?
Why don't you try it? Understanding isn't going to jump of the page and beat you over the head. Studying is an active process. If you only wait for it to happen, it won't.
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April 30th, 2018, 07:59 AM   #7
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Quote:
Originally Posted by JeffM1 View Post
The lengths given are 6 X 8 X 5. That is the relevance of 5 and 8 (and 6, of course, is also relevant). The lengths 10 and 2 and 4 and 20 are not relevant because they are not lengths of the given cube.
There are no given lengths.
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April 30th, 2018, 09:13 AM   #8
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Quote:
Originally Posted by Ganesh Ujwal View Post
Can I take 2 x 20 or 4 x 10 also?
If, say, you take 4 × 10 instead of 5 × 8, you'll need 1 more cut.
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May 2nd, 2018, 03:28 AM   #9
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Of all of the integer factorings of 40, 5 and 8 are closest together. That was also the point of finding the nearest cube to 240. Of all possible ways to factor 240 into three factors, 5, 6, and 8 are closest together.
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