This is a great little problem I set my year 9 students a few months ago. Since the glass panes are quite thick, it’s a nice way to consolidate finding volumes of prisms and ends up providing good revision on the pythagoras theorem. Here’s the PowerPoint I used to introduce the problem and the sheet I gave them to work out the number of panes of glass. I let each pair think by themselves how to find the volume of a glass pane (whether that be triangular or rhombus shaped) and only after they’d really thought about it did we discuss the last few slides.
I intend to extend this work by asking the students to make a scale model of the Louvre and then to find the actual volume and surface area of both the model and the real thing. This should be a nice introduction to area and volume scale factors. If Paris wasn’t 6000 miles away then we might have windled our way onto a “maths” trip to the Louvre!