17.1: Nets
Here are some nets for various prisms.
- What would each net look like when folded?
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What do you notice about the nets?
Let’s build a triangular prism from scratch.
Here are some nets for various prisms.
The base of a triangular prism has one side that is 7 cm long, one side that is 5.5 cm long, and one angle that measures $45^\circ$.
Draw as many different triangles as you can with these given measurements.
Your teacher will give you an incomplete net. Follow these instructions to complete the net and assemble the triangular prism:
After you finish assembling your triangular prism, answer these questions. Explain or show your reasoning.
What is the surface area of your prism?
Stand your prism up so it is sitting on its triangular base.
As you answer these questions about your new prism, look for ways you can use your calculations from the previous activity to help you. Explain or show your reasoning.
What is the area of its base?
What is its height?
What is its volume?
What is its surface area?
How many identical copies of your prism would it take you to put together a new larger prism in which every dimension was twice as long?