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Cover Your Bases

Unit 5 ● Lesson 13 ● Activity 1

Two solids are shown.

For each solid, draw and label a prism or cylinder that has a base congruent to the solid’s and a height equal to the solid’s.

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Warm-up

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Building a Volume Formula for a Pyramid

Unit 5

Lesson 13

Solid Geometry

GEOMETRY

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Unit 5 ● Lesson 13

I can use the volume formula for pyramids and cones V = ⅓ Bh.

Learning

Targets

Geometry

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Building a Volume Formula for a Pyramid

Unit 5 ● Lesson 13

A pyramid or cone whose base has area B square units and whose height is h units has volume ⅓ Bh cubic units, regardless of the shape of the base or whether the solid is oblique. (Theorem)

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

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Pyramid Strategies

Unit 5 ● Lesson 13 ● Activity 4

Calculate the Volume of the pyramid:

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

Cool-down

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Calculate the volume of the cone:

Slides are CC BY NC Kendall Hunt Publishing. Curriculum excerpts are CC BY Illustrative Mathematics.

Lesson Synthesis

Cool-down