My Math Forum Please somebody explain the solution

 Geometry Geometry Math Forum

 April 29th, 2018, 04:14 AM #1 Senior Member   Joined: Aug 2014 From: India Posts: 310 Thanks: 1 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.
 April 29th, 2018, 09:34 AM #2 Math Team   Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,126 Thanks: 914 Buy a cheese cube and start cutting it...
 April 29th, 2018, 09:56 AM #3 Senior Member   Joined: May 2016 From: USA Posts: 1,126 Thanks: 468 You have been given the solution. What is it that you do not understand? Thanks from greg1313 and Denis
 April 29th, 2018, 05:28 PM #4 Senior Member   Joined: Aug 2014 From: India Posts: 310 Thanks: 1 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 06:34 AM.
April 30th, 2018, 06:13 AM   #5
Senior Member

Joined: May 2016
From: USA

Posts: 1,126
Thanks: 468

Quote:
 Originally Posted by Ganesh Ujwal 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

Last edited by skipjack; April 30th, 2018 at 06:33 AM.

April 30th, 2018, 06:57 AM   #6
Math Team

Joined: Dec 2013
From: Colombia

Posts: 7,398
Thanks: 2477

Math Focus: Mainly analysis and algebra
Quote:
 Originally Posted by Ganesh Ujwal 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.

April 30th, 2018, 06:59 AM   #7
Math Team

Joined: Dec 2013
From: Colombia

Posts: 7,398
Thanks: 2477

Math Focus: Mainly analysis and algebra
Quote:
 Originally Posted by JeffM1 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.

April 30th, 2018, 08:13 AM   #8
Global Moderator

Joined: Dec 2006

Posts: 19,530
Thanks: 1750

Quote:
 Originally Posted by Ganesh Ujwal 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.

 May 2nd, 2018, 02:28 AM #9 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 894 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.

 Tags explain, solution

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Ganesh Ujwal Geometry 1 April 28th, 2018 11:02 PM pnf123 Calculus 1 March 26th, 2014 05:53 AM alfred_oh Advanced Statistics 1 April 30th, 2013 05:01 AM retroshell Calculus 9 December 1st, 2011 11:48 AM r-soy Algebra 6 December 8th, 2009 08:31 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top