April 28th, 2018, 11:00 PM  #1 
Senior Member Joined: Aug 2014 From: India Posts: 343 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 = (E2C) 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 11:54 PM. 
April 29th, 2018, 12:02 AM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,288 Thanks: 1968 
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  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Please explain this solution  pnf123  Calculus  1  March 26th, 2014 06:53 AM 
Can anyone explain me the solution of this exercise please?  alfred_oh  Advanced Statistics  1  April 30th, 2013 06:01 AM 
pls explain the solution of e^x^2 dx  retroshell  Calculus  9  December 1st, 2011 12:48 PM 
I placed 3 questions and I want to explain the solution  rsoy  Algebra  2  February 25th, 2010 07:07 AM 
i want to explain the solution to this question  rsoy  Algebra  6  December 8th, 2009 09:31 AM 