64 Cubes

Problem of the Week - January 10, 2022

64 Cubes Image

A cube measuring 4 inches on a side is painted.  The cube is then cut into 64 smaller one-inch cubes.  One of the smaller cubes is randomly selected and tossed.  What is the probability that none of the five faces that are showing on the tossed cube is painted?

Submit answer

Immediately after your correct answer is submitted, your name will be posted here.

Past problems
Individual Monthly & Annual Rankings
Leaderboard Monthly & Annual Rankings

Custom Leaderboards Are Here!

Take the competition to the next level and encourage participation by creating custom leaderboards for your students or friends to join. Click below to try it out now!

Get Started with Custom Leaderboards

Need Scratch Paper?

We encourage you to use the free online math software and mobile app from ClassPad as your digital scratch paper while solving the problems on our site!

Use ClassPad for digital scratch paper to solve this problem!