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

Home > Shapes > Geometry
Ready, actionů,CUT! (Posted on 2012-05-16) Difficulty: 3 of 5
Four math students ordered three pizzas: one large (55 cm diameter), one medium (44 cm diameter) and one small (33 cm diameter).
Upon delivery they decided to divide it fairly between them by cutting the pizzas into the fewest number of pieces.
Ignoring the toppings and assuming uniformity of thickness please provide a solution with less than 6 pieces.

See The Solution Submitted by Ady TZIDON    
Rating: 3.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 2 of 19 |
Cut the large pizza in half. 
Using the small pizza as a template placed over the medium pizza with the smaller lies completely over but sharing a "point" along the edge of the crust. From the opposite "point" on the circumference of the medium pizza, make a cut to the edge of the circumference at the opposite "point" of the small pizza, then continue to cut along the circumference of the small to the common "point". The medium pizza will now be 2 pieces of unequal sizes. (If the cut around the small pizza were continued completely around, the pizza would be 3 pieces with the 2 smaller of the pieces being of equal 'volume'.)
Each of two students will get one of the large pizza pieces;
One student will get the larger piece of the medium pizza; and
one student will get the smaller piece of the medium pizza plus the small pizza.

Edited on May 16, 2012, 1:05 pm
  Posted by Dej Mar on 2012-05-16 12:10:21

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 (4)
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