Lesson 13

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how much will fill it?

Warm Up

Lesson

Summary

Cool

Down

Reflections

Student

Task

Learning

Targets

Practice Problems

Lesson Video

Unit 6

Functions and Volume

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13.1 Warm Up - Two Containers

Your teacher will show you some containers. The small container holds 200 beans. Estimate how many beans the large jar holds.

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Learning Targets

• I know that volume is the amount of space contained inside a three-dimensional figure.
• I recognize the 3D shapes cylinder, cone, rectangular prism, and sphere.

Success Criteria

Today I am identifying the parts of various shapes to determine the volume.

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13.2 What’s Your Estimate?

Your teacher will show you some containers.

1. If the pasta box holds 8 cups of rice, how much rice would you need for the other rectangular prisms?
2. If the pumpkin can holds 15 fluid ounces of rice, how much do the other cylinders hold?
3. If the small cone holds 2 fluid ounces of rice, how much does the large cone hold?
4. If the golf ball were hollow, it would hold about 0.2 cups of water. If the baseball were hollow, how much would the sphere hold?

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13.3 Do You Know These Figures?

1. What shapes are the faces of each type of object shown here? For example, all six faces of a cube are squares.

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• Which faces could be referred to as a “base” of the object?

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13.3 Do You Know These Figures? (Cont.)

• Here is a method for quickly sketching a cylinder:
1. Draw two ovals.
2. Connect the edges.
3. Which parts of your drawing would be hidden behind the cylinder? Make these parts dashed lines.

Practice sketching some cylinders. Sketch a few different sizes, including short, tall, narrow, wide, and sideways. Label the radius r and height h on each cylinder.

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Are you ready for more?

A soccer ball is a polyhedron with 12 black pentagonal faces and 20 white hexagonal faces. How many edges in total are on this polyhedron?

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Lesson Summary

The volume of a three-dimensional figure, like a jar or a room, is the amount of space the shape encloses. We can measure volume by finding the number of equal-sized volume units that fill the figure without gaps or overlaps.

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13.4 Cool Down: Rectangle to Round

Here is a box of pasta and a cylindrical container. The two objects are the same height, and the cylinder is just wide enough for the box to fit inside with all 4 vertical edges of the box touching the inside of the cylinder. If the box of pasta fits 8 cups of rice, estimate how many cups of rice will fit inside the cylinder. Explain or show your reasoning.

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Reflections

• Do you know that volume is the amount of space contained inside a three-dimensional figure?
• Can you recognize the 3D shapes cylinder, cone, rectangular prism, and sphere?

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Practice Problems

Must do: All problems

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Lesson Video

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