Become a member

My Mensa
Become a member
My Mensa
9109_Mensa_80 logo_FINAL
Facebook Twitter Linkedin

Puzzles

One activity that many of our members enjoy is puzzling! You can test yourself for fun with our brainteasers. Our quizzes and conundrums are updated regularly, so do check back on the page for the latest content, and if you get really good at them, why not find out what your IQ is by booking a Mensa Supervised IQ Test?

28/11/2025 – Cuboids

How many 2 x 3 x 4 cuboids can you pack into a 5 x 10 x 12 cuboid?

 

 

Puzzle courtesy of Mensa member Peter Hooton

  • Show Answer

Answer = 24

Even though the volume of the larger cube (600cm3) is 25 times larger than the volume of the smaller cube (24cm3), packing restrictions mean that it is not possible to completely fill the larger cube.

A base layer of 15 cubes 2cm across, 4cm deep and 3cm high will fill the bottom of the larger cube. To fit more in, the small cubes need to be rotated so that they lie 2cm high, 4cm deep and 3cm across. In this configuration, a second layer of 9 cubes can be fitted inside the larger cube

Puzzles for business use

We are also able to supply puzzle content to businesses, tailored to your needs. This can range from one-off media projects for marketing campaigns and content for newspapers, magazines and company websites, to long-running partnerships and licensing agreements.

Find out more by contacting our marketing team, via: communications@mensa.org.uk