The hole truth

1st February 2008, 12:00am

Share

The hole truth

https://www.tes.com/magazine/archive/hole-truth
Everyday objects, such as round lids and covers, can get children thinking about shapes and their properties, says John Dabell.

Maths

Anyone applying for a job with Microsoft in the past used to get asked the question: “Why are manhole covers round?” The way a candidate answered the problem, explained their thinking and defended ideas was taken to be a good measure of creative thinking. It’s a good question to ask children too.

Not all manhole covers are round. Some are square and others hexagonal, but the circle is the better choice. Why? A round lid won’t fall through the opening.

There is no way of orienting a circular lid so that it fits through a hole of the same geometry but slightly smaller size because of its constant diameter. But what about other shapes? Investigating which other shapes fall through their holes can be tested using card, pencil and scissors.

It soon becomes apparent that a scalene triangle (three different length sides) is out of the running, but there are other shapes that are up to the job. One such shape is a curved equilateral triangle called a Reuleaux triangle (left), named after Franz Reuleaux, the engineer. This can fit snugly into a square hole and rotate freely.

Asking quirky questions is always worth it in maths. Why are plug holes always round as well?

John Dabell is a teacher at Lawn Primary School in Derby.

Want to keep reading for free?

Register with Tes and you can read two free articles every month plus you'll have access to our range of award-winning newsletters.

Keep reading for just £1 per month

You've reached your limit of free articles this month. Subscribe for £1 per month for three months and get:

  • Unlimited access to all Tes magazine content
  • Exclusive subscriber-only stories
  • Award-winning email newsletters
Recent
Most read
Most shared