Measurement

Ontario 10 Applied (MFM2P)

Surface Area Using Nets (Investigation)

Lesson

- To experiment with how to find the surface area of a composite solid.
- To practice with the surface area of smaller shapes.

- Printed out nets.
- Tape
- Scissors
- Crayons (optional)

- Print and cut out the nets below.
- You can color in the nets using crayons or markers.
- For each of the different shapes in the net calculate the area and record it. Pay attention to the units you used for this.
- Now, fold the nets along the lines to create the shape.
- Tape the edges to secure the shape.

- On your own or in small groups look at each of the solids and make observations. What do you notice about each shape? Come up with at least 3 observations for each solid.
- Draw a sketch of the cross section of each solid.
- How many faces does each solid have?
- What is the surface area of each solid? What units is it in?
- Now use two or more of the nets to make a composite solid. What is its surface area? How did you arrive at your answer? Do this three different times making a new composite solid each time.
- What real-life situations can you think of where calculating surface area of an object could be useful? Brainstorm at least 3.
- Compare with a friend! Did they think of one you didn’t?

Determine, through investigation, the relationship for calculating the surface area of a pyramid