# Net + Surface Area of a Triangular Prism and Cylinder

## Triangular Prism Question:

Unfold the shape and click the "Show Perimeter of Base" button. The length of the red line will be important to finding the area of the rectangle. Fold the shape. What do we call the length of the red line (think about terms we'd use in relation to the triangle)?

Question 1: What shapes are faces of our right cylinder?

Question 2: By unfolding this right cylinder, have we changed the amount of square units needed to cover these faces?

Question 3: How are the area of the "net" we end up with on the left and the surface area of our original cylinder related?

Question 4: How could we compute the length of the purple edge of our rectangle? (Hint: look at the "other" purple edge in the picture)

Question 5: Describe a plan for finding the surface area of our right cylinder (What shapes are you adding together?)