What is the true number of faces of a rectangular prism?

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What is the true number of faces of a rectangular prism?

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What is the true number of faces of a rectangular prism?

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What is the true number of faces of a rectangular prism?

In this lesson you will learn how to analyze rectangular prisms by locating pairs of congruent faces.

Two figures are congruent when they are exactly the same shape and size.

congruent:

not congruent:

Two faces on a 3D solid are parallel when they never intersect.

parallel:

not parallel:

A prism is a three-dimensional figure with two parallel and congruent polygonal bases.

There are three different types of rectangular prisms:

Some prisms have 3 different pairs of matching, congruent faces.

Some prisms have 2 different sizes of congruent faces.

Some prisms have 1 face size.

(These prisms are called cubes.)

- Some rectangular prisms have 3 different pairs of matching, congruent faces.

- Some rectangular prisms have 2 different sizes of congruent faces.

Some prisms (cubes) have 1 face size.

In this lesson you learned how to analyze rectangular prisms by locating pairs of congruent faces.

Describe the difference between the gift packages that you see, below. Draw a net for each gift.

This gift is a cube, so it has 6 faces that are all the same size.

The first gift has two face sizes. There are squares on top/bottom, and rectangles on the four sides.

- Below is a sample of each of the three types of rectangular prisms. Draw the net for each of these prisms, paying careful attention to the different sizes of the rectangular faces.

- Look around your classroom. Locate one of each of the different types of rectangular prisms that you learned about, in this lesson. Use your observations to complete the chart, below. (For example: You might write “dice” as an example of a prism with 1 face size.)
- When you are finished, you and a partner will describe to one another why you selected each object.

# face sizes:object:

3 face sizes =

2 face sizes =

1 face size =

How many different sizes of rectangular faces are there on a cube? Prove your answer by drawing a net.

How many different sizes of rectangular faces are there on your mattress? Prove your answer by drawing a net.