
Geometry | Unit 5 | Lesson 2: Slicing Solids | Practice Problems
Authored by Illustrative Mathematics
Mathematics
6th Grade
CCSS covered

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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
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
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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