Surface Area of Triangular Prisms

I have been looking at triangular prisms and in particular ones that had integer lengths. I wanted to look at some triangular prisms with right-angled triangle cross-section, isosceles and scalene.

I wanted students to think about what the nets would look like and how we find the surface area.

I have picked some shapes that would have the same VOLUME so we can discuss how the surface area is different and why.

I have picked some shapes that have surface areas that are close in value.

Here is the handout:

some screens shots from the lesson

It went really well (as well as expected and as well as I hoped) The biggest issues I could see was using the correct lengths for the surface area. I made a match up activity for next lesson to see if this could help