Big Ideas Math: Modeling Real Life, Grade 6
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Big Ideas Math: Modeling Real Life, Grade 6 View details
Chapter Review
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Exercise 29 Page 336

A prism is a polyhedron that has two parallel, identical bases. The lateral faces are parallelograms. The shape of the base tells the name of the prism.

Example Solid:

pentagonal prism
Practice makes perfect
A solid is a three-dimensional figure that encloses a space. A polyhedron is a solid whose faces are all polygons. Let's look at an example polyhedron.
polyhedron
A prism is a polyhedron that has two parallel, identical bases. The lateral faces are parallelograms. The shape of the base tells the name of the prism. In our case, we want to draw a hexagonal prism. We can tell by the name that the bases are hexagons. Let's draw this prism!
pentagonal prism
Note that there are infinitely many possible hexagonal prisms. This is just one.

Extra

For any polyhedron, the number of vertices V, faces F, and edges E satisfy the following formula. F+V=E+2 For example, in our hexagonal prism, we have 8 faces, 18 edges, and 12 vertices. Let's substitute these values for F, E, and V, and check that they satisfy the formula.
F+V=E+2
8+ 12? = 18+2
20=20 ✓
This formula was discovered by the Swiss mathematician Leonard Euler and it is called Euler's Formula. Euler is considered one of the greatest mathematicians of all time.