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Geometry | Unit 5 | Lesson 2: Slicing Solids | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

CCSS covered

Geometry | Unit 5 | Lesson 2: Slicing Solids | Practice Problems
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11 questions

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1.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

Select all figures for which there exists a direction such that all cross sections taken at that direction are congruent.

triangular pyramid

square pyramid

rectangular prism

cube

cone

Tags

CCSS.7.G.A.3

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Imagine an upright cone with its base resting on your horizontal desk. Sketch the cross section formed by intersecting a vertical plane not passing through the cone’s topmost point with the cone.

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

3.

OPEN ENDED QUESTION

3 mins • 1 pt

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

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

4.

OPEN ENDED QUESTION

3 mins • 1 pt

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

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

5.

OPEN ENDED QUESTION

3 mins • 1 pt

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

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

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

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

7.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

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

Evaluate responses using AI:

OFF

Tags

CCSS.7.G.A.3

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