top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What is the length of the shortest such path?

0 votes
269 views

A 12 by 25 by 36 cm cereal box is lying on the floor on one of its 25 by 36 cm faces. An ant, located at one of the bottom corners of the box, must crawl along the outside of the box to reach the opposite bottom corner. What is the length of the shortest such path?

Note: The ant can walk on any of the five faces of the box, except for the bottom face, which is flush in contact with the floor. It can crawl along any of the edges. It cannot crawl under the box.

posted May 14, 2014 by Upma

Looking for solution? Promote on:
Facebook Share Button Twitter Share Button LinkedIn Share Button




Similar Puzzles
+1 vote
9 unit circles are packed into a square. What is the length of longest path connecting two opposite corners of square?

Nine unit circles are packed into a square, tangent to their neighbors and to the square. What is the length of the longest smooth path connecting two opposite corners of the square?

nine squares

Assumptions:
- The path must be continuous and follow the lines in the diagram; that is, it must be made up of portions of either the circles or the outside square.
- The path may not change direction suddenly.
- The path may not contain any loops.
- The path may not touch or cross itself at any point.

+1 vote
What is the length of the path they have traveled at the moment they reach each other?

Consider four (dimensionless) flies, two males and two females. They are situated at the corners of one square meter. Every fly tries to reach the male/female fly in front of her/him. Their initial situation is visualized in the picture. Since the flies are flying towards another, they will meet each other at a certain time in the center of the square.

0 votes
A string is 148 cm long. It is cut into 3 pieces. The longest............ Find the length of the shortest piece (in cm).

A string is 148 cm long. It is cut into 3 pieces.
The longest piece is 4 times as long as the middle sized piece and the shortest piece is 77 cm shorter than the longest piece.
Find the length of the shortest piece (in cm).

0 votes
A rope is 89 cm long. It is cut into 3 pieces. The longest................Find the length of the shortest piece (in cm).

A rope is 89 cm long.
It is cut into 3 pieces.
The longest piece is 3 times as long as the middle-sized piece and the shortest piece is 44 cm shorter than the longest piece.
Find the length of the shortest piece (in cm).

0 votes
Find the length of the shortest piece (in cm).

A string is 94 cm long.
It is cut into 3 pieces.
The longest piece is 4 times as long as the middle sized piece and the shortest piece is 59 cm shorter than the longest piece.
Find the length of the shortest piece (in cm).

...