My Math Forum Please explain the solution.

 Geometry Geometry Math Forum

 April 28th, 2018, 10:00 PM #1 Senior Member   Joined: Aug 2014 From: India Posts: 362 Thanks: 1 Please explain the solution. A Cube is decorated in such a way that one diamond is placed at each corner, 6 diamonds are placed at each edges and 3 diamonds are placed at the center of each face. How many diamonds are there on the cube? Solution: No of units = (E - 2C) 12 Corner = 8 X 1 = 8 Edges = (E-2C) 12 = (5 - 2X1)8 = 36 Face = 6 x 3 = 18. My friend showed me a solution to this problem and hesitate to explain it. please help me. Last edited by skipjack; April 28th, 2018 at 10:54 PM.
 April 28th, 2018, 11:02 PM #2 Global Moderator   Joined: Dec 2006 Posts: 20,746 Thanks: 2133 There are inconsistencies. The description states that 6 diamonds are placed on each edge, but the solution uses E = 5. Also, the solution incorrectly changes 12 (the number of edges) to 8. In the description, it's unclear whether the number of diamonds placed on each edge includes the diamonds at the ends of each edge (the corner diamonds). If the 6 diamonds placed on each edge include 2 corner diamonds, the total number of diamonds is given by 8 × 1 + 12 × (6 - 2) + 6 × 3 = 74, because there are 8 corners, 12 edges and 6 faces.

 Tags explain, solution

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post 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 2 February 25th, 2010 06:07 AM r-soy Algebra 6 December 8th, 2009 08:31 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top