1. One way to figure it out is to draw out the prism, and count vertices, edges and faces.

vertices: 12 edges: 24

vertices: 12 edges:30

Be sure to count both the faces in the two bases blue) and the faces that are stretched between edges (yellow)

faces: 19

faces: 28

Alternately, you can reason it out this way:

each base has 6 vertices, so with two bases there are 12 vertices each base has 9 edges, so with two bases there are 18 blue/white edges, and the base has 6 vertices so there will be 6 red edges; the prism will have a total of 18+6=24 edges. Each base has 5 faces, so with two bases there will be 10 faces on bases. The base has 9 edges, so there will be 9 faces between bases; the prism will have a total of 10+9=19 2D faces.

each base has 6 vertices, so with two bases there are 12 vertices each base has 12 edges, so with two bases there are 24 blue/white edges, and the base has 6 vertices so there will be 6 red edges; the prism will have a total of 24+6=30 edges. Each base has 8 faces, so with two bases there will be 16 faces on bases. The base has 12 edges, so there will be 12 faces between bases; the prism will have a total of 16+12=28 2D faces.

 

Match 2-D slice pictures to 3-D objects

3. Match each of these slice pictures to the 3D object it is slices of. Explain how you decided:

Slices:

The one on the left is slices of the stapler, going from the back to the front of the stapler. Things that make these slices look like the stapler are the shapes made of rectangles, and the rectangle above and one beneath.

The one on the right is the shoe, going from toe to heel. Things that make this look like a shoe are the enclosed space at one end and being open at the top at the other end.

4. Draw slice pictures for each of these objects:

Your pictures might look like these: