Free Printable WorksheetMathGeometryMath CurriculumG-GMD.A.3

GEO.159 Cross sections and solids of revolution Worksheet

Download our free printable Geometry Math worksheet on GEO.159 Cross sections and solids of revolution. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.159 Cross sections and solids of revolution. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.159 Cross sections and solids of revolution - Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.A.3. Skill statement in this prompt cell: Select the correct cross section shape or the solid formed by rotating a given figure. Associated standards listed with this skill in the curriculum source: CCSS G-GMD.A.3; FL MA.912.GR.4.4-4.6; TEKS §111.41(c); VA G.DF.1. Use this prompt-provided wording as the supporting standard description for this workflow.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Geometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related GEO.159 Cross sections and solids of revolution skill assessments:

Problem 1Difficulty: Mastery

Which pair of statements is correct?

AA sphere cut through by a plane gives a square, and a rectangle rotated around one side gives a cone

BA cone sliced parallel to its base gives a rectangle, and a triangle rotated around a leg gives a sphere

CA cylinder sliced parallel to its base gives a triangle, and a semicircle rotated around its diameter gives a cylinder

DA sphere cut through by a plane gives a circle, and a rectangle rotated around one side gives a cylinder

Solution & Explanation:A plane that cuts through a sphere in more than one point gives a circular cross section, and rotating a rectangle around one side forms a cylinder. The other pairs mismatch common cross sections or rotations.

Problem 2Difficulty: Mastery

A plane cuts a right rectangular pyramid parallel to its rectangular base. What happens to the shape and size of the cross section as the plane moves toward the apex?

AIt becomes a circle and gets smaller

BIt remains congruent to the base

CIt remains a rectangle but gets smaller

DIt becomes a triangle of constant size

Solution & Explanation:Parallel cross sections of a pyramid are similar to the base. Moving toward the apex keeps the rectangular shape but decreases the size.

Problem 3Difficulty: Mastery

A square pyramid and a cone are both sliced by planes parallel to their bases. Which comparison is correct?

ABoth always give circular cross sections

BThe square pyramid gives square cross sections, while the cone gives circular cross sections

CBoth always give triangular cross sections

DThe cone gives square cross sections, while the pyramid gives circles

Solution & Explanation:A slice parallel to the base keeps the base shape: square for a square pyramid and circle for a cone.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.159 Cross sections and solids of revolution worksheet?

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QIs this GEO.159 Cross sections and solids of revolution worksheet free for teachers and homeschoolers?

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QCan students practice GEO.159 Cross sections and solids of revolution online with instant feedback?

Yes! In addition to this printable worksheet, students can practice GEO.159 Cross sections and solids of revolution interactively on our platform with automated grading, instant score tracking, and detailed step-by-step solutions.

QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Geometry Math students. It aligns with educational standard G-GMD.A.3 (Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.A.3. Skill statement in this prompt cell: Select the correct cross section shape or the solid formed by rotating a given figure. Associated standards listed with this skill in the curriculum source: CCSS G-GMD.A.3; FL MA.912.GR.4.4-4.6; TEKS §111.41(c); VA G.DF.1. Use this prompt-provided wording as the supporting standard description for this workflow.).