Free Printable WorksheetMathGeometryMath CurriculumG-GMD.A.3

GEO.160 Surface area of prisms, cylinders, pyramids, cones, and spheres Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.160 Surface area of prisms, cylinders, pyramids, cones, and spheres. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.160 Surface area of prisms, cylinders, pyramids, cones, and spheres - Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.A.3. Skill statement in this prompt cell: Select the correct surface-area formula (including lateral vs total) and compute the surface area of a given solid. 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.160 Surface area of prisms, cylinders, pyramids, cones, and spheres skill assessments:

Problem 1Difficulty: Mastery
A cone has radius 4 units and slant height 9 units. A sphere has radius 4 units. Which surface area is greater, and by how much?
AThe cone is greater by 12pi square units.
BThe sphere is greater by 12pi square units.
CThey are equal at 52pi square units.
DThey are equal at 64pi square units.
Solution & Explanation:The cone's total surface area is pi(4)(9 + 4) = 52pi. The sphere's surface area is 4pi(42) = 64pi. The sphere is greater by 12pi square units.
Problem 2Difficulty: Mastery
Each lateral face of a regular square pyramid is an isosceles triangle with base 14 inches and equal sides 25 inches. What is the total surface area of the pyramid?
A532 square inches
B672 square inches
C868 square inches
D1400 square inches
Solution & Explanation:The slant height of each triangular face is sqrt(252 - 72) = 24. Each triangular face has area 1/2(14)(24) = 168, so four faces total 672. The square base area is 142 = 196. Total surface area is 868 square inches.
Problem 3Difficulty: Mastery
A sphere has surface area 256pi square units. A closed cylinder has the same radius as the sphere and height 8 units. What is the cylinder's total surface area?
A128pi square units
B192pi square units
C256pi square units
D512pi square units
Solution & Explanation:From 4pi r2 = 256pi, r2 = 64 and r = 8. The cylinder surface area is 2pi(8)(8 + 8) = 256pi square units.

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Frequently Asked Questions

Common questions about printing, using, and solving this worksheet

QHow do I download and print this GEO.160 Surface area of prisms, cylinders, pyramids, cones, and spheres worksheet?

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QIs this GEO.160 Surface area of prisms, cylinders, pyramids, cones, and spheres worksheet free for teachers and homeschoolers?

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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 surface-area formula (including lateral vs total) and compute the surface area of a given solid. 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.).

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