Create Your Own NET.
You are going to watch a video now on how to create a Net. Follow the steps to find the Surface Area of common examples of polyhedra. You may want to write down the steps to guide you. Remember that you can also come back to the video for reference.
(1.) A cube of sides 2 cm. (Hint; Your 2D polygon should be a square of sides 2 cm.)
(2.) A prism with a square base of sides 2 cm, and the height is 3 cm.
(3.) A prism with a rectangular base of sides 3 cm by 2 cm, and the height is 4 cm.
Practice Drawing a NET.
Polyhedral nets are a useful aid to the study of polyhedra and solid geometry in general, as they allow for physical models of polyhedra to be constructed from material such as thin cardboard.
Compare Surface Area of NET Structures.
Here below are the nets of three cardboard boxes – all rectangular prisms. The boxes will be packed with 1-centimeter cubes. All lengths are in centimeters.
(1.) Which box will use the least cardboard? Use on the applet to show your reasoning.
(2.) Which box will hold the most 1-centimeter cubes? Use on the applet to show your reasoning.
In the applet above, the picture at the bottom shows the net of a cube.
How many different nets can be drawn and assembled into a cube?
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