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Lesson 16

Surface area of right prisms

Unit 6

functions and volume

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16.1 Warm Up: multifaceted

BLACKLINE

MASTER (linked)

Your teacher will show you a prism.

  1. What are some things you could measure about the object?

  • What units would you use for these measurements?

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Learning Targets

  • I can find and use shortcuts when calculating the surface area of a prism.
  • I can picture the net of a prism to help me calculate its surface area.
  • I can decide whether I need to find the surface area or volume when solving a problem about a real-world situation.

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16.2 so many faces

Here is a picture of your teacher's prism:

Three students are trying to calculate the surface area of this prism.

  • Noah says, “This is going to be a lot of work. We have to find the areas of 14 different faces and add them up.”
  • Elena says, “It’s not so bad. All 12 rectangles are identical copies, so we can find the area for one of them, multiply that by 12 and then add on the areas of the 2 bases.”
  • Andre says, “Wait, I see another way! Imagine unfolding the prism into a net. We can use 1 large rectangle instead of 12 smaller ones.”

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16.3 Revisiting the box of chocolates

You previously calculated the volume of this heart shaped box. Today we will find another measurement.

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16.4 Optional: a wheelbarrow of concrete

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Lesson Summary

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Lesson Summary

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16.4 Cool Down: surface area of a hexagonal prism

Find the surface area of this prism. Show your reasoning. Organize it so it can be followed by others.

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Reflections

  • Can you find and use shortcuts when calculating the surface area of a prism?
  • Can you picture the net of a prism to help me calculate its surface area?
  • Can you decide whether you need to find the surface area or volume when solving a problem about a real-world situation.

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Practice Problems

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Lesson Video

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