A half-cube is cut into two pieces by a plane through the long diagonal and at right angles to it. Can you draw a net of these pieces? Are they identical?
Lyndon joined me to talk about this month's problems and took
this picture in my kitchen.
The aim is to make a box that will contain all the cups and have
as small a surface area as possible (to keep production costs
N.B. I am assuming that the mugs will all be facing up in the
box and not stacked, but you could make other assumptions if you
What shape and dimensions would your box have?
A cup has a height of 83mm and
diameter of 85mm.