Construct a RIGHT SQUARE PYRAMID and Analyze its Surface Area and Volume

Now you are ready to create a net to satisfy prearranged dimensions. You will be making a pyramid to the specifications that we give you.

Here is what you need to do:

  1. Make a net for a RIGHT SQUARE PYRAMID that has a 6 inch square base and is 3 inches tall. Be sure to write all the dimensions on the net.

    *Note: the height of the triangles on the lateral sides will NOT be 3 inches. The pyramid itself is 3 inches tall, so those "slant sides" formed by the triangles will actually have longer altitudes than three inches. You will need to use the Pythagorean Theorem to find them. Check out our example if you need help.

  2. Cut out your net. Glue it together carefully. This activity is evaluated by measuring your finished figure. Your pyramid must pass the test of having a 6 inch square base and be exactly 3 inches high.

  3. On the front of a piece of notebook paper, explain in words how to find the surface area for your pyramid, and show the mathematics. Be sure you are very clear about how to find the heights of the lateral triangles using the Pythagorean Theorem.

  4. On the back of the notebook paper explain how to find the volume for your pyramid and show the mathematics.

  5. DON'T use the same dimensions as our example.

Click here to see our example.

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