Polyhedra

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To Investigate the Features of a Cube.

  • Check the “Vertices” box and note how many vertices a cube has. You may want to spin the cube to see all around it.
  • Check the “Edges” box and also note how many edges a cube has. Spin it around if need be.
  • Check the “Faces” box to see how many faces. You can use the slider at the bottom for assistance.

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To Discover the Nets of a Square Pyramid.

  • Move the horizontal slider back and forth to increase or decrease the base of the pyramid. ​
  • Move the vertical slider up and down to increase or decrease the Altitude and slanting height of the pyramid. ​
  • Click on the play button in the lower left corner to animate the faces of the pyramid.

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To Discover the Nets of a Cube.

  • Pull the Net slider to the right to display the net of the cube. ​
  • Check the Formula box to see the formula to find the Surface Area.

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To Create your own Polyhedron.

Before you start this exercise, click on the 3-dimensional plane. Click on the 3-D tool with the arrow next to it to see the 3-D shapes that you can create with this applet.

To begin, click on the 2-D plane (the plane having the graph) to activate the tools. Click on the polygon tool and create a polygon on the 2-D plane.

  • To begin, click on the 2-D plane (the plane having the graph) to activate the tools. ​
  • Click on the polygon tool, and create a polygon on the 2-D plane. Keep in mind that a Prism and a Pyramid can have any polygon as its base. So you can decide what type of polygon you want for the base of your figure. The polygon that you create, is also displayed on the 3-D plane. ​
  • Click on the 3-D plane to activate the tools. ​
  • Click on the tool icon and select the shape that you want. ​
  • Click on the display in the 3-D plane. ​
  • Enter the height without units of your shape. ​
  • Click Ok. ​
  • Click the Move tool . ​
  • Play around with your shape. ​
  • Click the Reset icon and keep practicing. It’s fun!

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Look at the prisms. What are their characteristics or features?

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