Problem B

How to Net a Balloon

In \(1783\), the Montgolfier brothers launched the first hot air balloon flight in history, using a balloon that they created out of fabric and paper. The flight was short but successful. For an art exhibit, Vijay used cardboard to create a model of a balloon inspired by the Montgolfier brothers’ balloon. Vijay’s model, as well as its net, are shown below. Note that these diagrams are not drawn to scale.

Calculate the total area of cardboard Vijay used in his model. This is also called the

*surface area*of Vijay’s model.Suppose you have a sheet of paper measuring \(90\) cm by \(60\) cm. Draw a net for a balloon that you could make using this sheet of paper. Write the dimensions for each shape on your net.

**Theme: **Geometry & Measurement