• 0
Sign in to follow this  
Followers 0

Question

Posted · Report post

You have several white cubes and a jug of red paint. Then you use the red paint to cover one or more sides of each cube. Following such a method, how many distinguishable cubes can you make?

0

Share this post


Link to post
Share on other sites

3 answers to this question

  • 0

Posted · Report post

You have several white cubes and a jug of red paint. Then you use the red paint to cover one or more sides of each cube. Following such a method, how many distinguishable cubes can you make?

It seems like it would depend on how you are allowed to go about doing the distinguishing. To explain ...

1. Single, non-moving vantage point:

Answer: 4, since you can only see three sides of any cube at one time, leaving you with between 0 and 3 red sides.

2. Moving vantage point, without touching cubes, presuming they are resting on a flat surface:

Answer: 6, since you can see five sides of any cube, so you have between 0 and 5 red sides.

3. You can handle the cubes (after the paint has dried, naturally!):

Answer: 7, since there will be between 0 and 6 red sides for each cube.

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

You have several white cubes and a jug of red paint. Then you use the red paint to cover one or more sides of each cube. Following such a method, how many distinguishable cubes can you make?
10
0 faces = 1 way

1 face = 1 way

2 faces = 2 ways - adjacent or opposite

3 faces = 2 ways - all touching at a corner or 2 opposite faces and one that connects them

4 faces = 2 ways - reverse of 2

5 faces = 1 way - reverse of 1

6 faces = 1 way.B))

Nice one.

0

Share this post


Link to post
Share on other sites
  • 0

Posted · Report post

10
0 faces = 1 way

1 face = 1 way

2 faces = 2 ways - adjacent or opposite

3 faces = 2 ways - all touching at a corner or 2 opposite faces and one that connects them

4 faces = 2 ways - reverse of 2

5 faces = 1 way - reverse of 1

6 faces = 1 way.B))

Nice one.

Ugh. Why didn't I think about placement of sides? Nice job.

0

Share this post


Link to post
Share on other sites

Create an account or sign in to comment

You need to be a member in order to leave a comment

Create an account

Sign up for a new account in our community. It's easy!


Register a new account

Sign in

Already have an account? Sign in here.


Sign In Now
Sign in to follow this  
Followers 0

  • Recently Browsing   0 members

    No registered users viewing this page.