All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes
Box Volume Baffle (Posted on 2014-11-05) Difficulty: 3 of 5
The respective length, breadth and height of the rectangular cuboid R1 is A+2, B+2 and C+2 and the respective length, breadth and height of the rectangular cuboid R2 is A, B and C.

It is known that:

(i) The volume of R1 is precisely twice that of R2, and:
(ii) Each of A, B and C is a positive integer with A ≤ B ≤ C

Determine the maximum value of C.

No Solution Yet Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution re(2): No Subject Comment 5 of 5 |
(In reply to re: No Subject by Steve Herman)

Right, there are 2 more solutions now:


6 8 10
6 7 12
5 8 14
6 6 16
4 12 14
5 7 18
4 10 18
4 9 22
5 6 28
4 8 30
3 20 22
3 18 25
3 16 30
3 15 34
3 14 40
4 7 54
3 13 50
3 12 70
5 5 98
3 11 130

 For tot = 3 To 3000
  For a = 1 To tot / 3
    For b = a To (tot - a) / 2
      c = tot - a - b
      area2 = a * b * c
      area1 = (a + 2) * (b + 2) * (c + 2)
      If area1 = 2 * area2 Then
        Text1.Text = Text1.Text & a & Str(b) & Str(c) & crlf
        DoEvents
      End If
    Next
  Next
 Next tot

  Posted by Charlie on 2014-11-06 14:43:23
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (2)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2017 by Animus Pactum Consulting. All rights reserved. Privacy Information