Topics
8. Mathematical Modeling
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United States of America
Grades 9-12

8.06 Cross sections and revolutions of solids

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

For each three-dimensional object, select the correct cross-sectional shape that results when the object is intersected by a horizontal plane.

a
A three-dimensional figure of a rectangular prism. All six faces are rectangles.

Circle

A

Rectangle

B

Triangle

C

Oval

D
b
A three-dimensional figure of a sphere.

Circle

A

Rectangle

B

Triangle

C

Oval

D
c
A three-dimensional figure of a cylinder oriented horizontally. It is oriented such that its circular bases are oriented vertically facing left and right. The length of the cylinder is represented by horizontal lines.

Circle

A

Rectangle

B

Triangle

C

Oval

D
d
A three-dimensional figure of a triangular pyramid. All four faces are triangles.

Circle

A

Rectangle

B

Triangle

C

Oval

D
Easy
1min

The cylinder shown consists of two circular faces. Which of the following shows the uniform cross section of the cylinder?

Easy
< 1min

Consider the solid in the adjacent figure.

Medium
< 1min

Which two of the objects below could have the following cross-section?

Medium
< 1min
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Outcomes

G.GMD.B.4

Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

G.MG.A.1

Use geometric shapes, their measures, and their properties to describe objects.

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