Sunday Times Teaser 2856 – Solid Jellometry

by Stephen Hogg

Published 18th June 2017 (link)

As a wedding gift, Granny Lucci gave us a set of five jelly moulds, which was odd in many ways. The base of each mould was a different regular polygon (including a triangle) with each side an odd number of centimetres in length. Each polygon had the same length perimeter, an odd two figure number of centimetres.

The sides of the moulds were vertical and the heights of the moulds were all the same odd number of centimetres. The volumes of the moulds were all between one and two litres.

What was the height of the moulds?