# High School Math Station: Geometry / Prisms

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High School math station or 8th grade math lesson. Example of product:
Prisms come in many different shapes. A prism is a three-dimensional shape with a top and bottom that are congruent polygons, and faces that are parallelograms. The boxes or prisms that you have investigated so far have been rectangular prisms. A prism is named for the shape of its base. The following pictures show other prisms:
Make models for these prisms using 4 identical sheets of paper:

• Fold one sheet of paper into three congruent rectangles. Tape the paper into the shape of a triangular prism.

• Fold a second sheet of paper into four congruent rectangles, and tape it into the shape of a square prism.

• Fold and tape the remaining two sheets of paper to form pentagonal, five congruent rectangles, and hexagonal prisms, six congruent triangles.

2. Place each prism on a sheet of one-cm graph paper. Sketch around the base of the prism. Estimate the area of the base and, using a ruler, determine the height of the prism. Using these measurements, calculate the volume of the prism. Record your measurements and calculations in the table below:
3. A standard pencil has a hexagonal prism. The area of the base of the pencil is approximately ¼ inches squared. When the pencil is new (unsharpened), it is 8 inches long. Given these measurements, what is the approximate volume of wood and lead for a new, unsharpened pencil? Make a sketch and show your thinking.
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