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9-12 Integrated Math 3 Unit 1 Lesson 3

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K-5 Math 6-8 Math •9-12 Math

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Integrated Math 1 Integrated Math 2 •Integrated Math 3

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•Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 Unit 6 Unit 7

Lesson

Lesson 1 Lesson 2 •Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17 Lesson 18 Lesson 19 Lesson 20

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15
Lesson 16
Lesson 17
Lesson 18
Lesson 19
Lesson 20

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Unit 1, Lesson 3

Slicing Solids

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Integrated Math 3

Practice

Problem 1

Imagine slicing each figure into parallel cross-sections. Select all figures that have congruent cross-sections in a particular direction.

triangular pyramid
square pyramid
rectangular prism
cube
cone
cylinder
sphere

Problem 2

Imagine an upright cone with its base resting on your horizontal desk.
Sketch the cross-section formed by intersecting each plane with the cone.

vertical plane not passing through the cone’s topmost point
horizontal plane
diagonal plane

Problem 3

Name 2 figures for which a circle can be a cross-section.

Problem 4

ForLesson 2: Solids of Rotation

Sketch the solid of rotation formed by rotating the given two-dimensional figure using the dashed vertical line as an axis of rotation.

<p>Dotted vertical line. Next to it is a wavy line, vaguely resembling the number 3.</p>

Problem 5

ForLesson 2: Solids of Rotation

Draw a two-dimensional figure that could be rotated using a vertical axis of rotation to give the cone shown.

<p>A cone with a dotted vertical line down its middle.</p>

Problem 6

ForLesson 1: Solids

What is a three-dimensional solid that has no edges, no base, and no vertex?