Free Printable WorksheetMathGrade 8Math Curriculum7.G.B.6

8.147 Surface Area of Spheres Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.147 Surface Area of Spheres. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.147 Surface Area of Spheres - Which surface area is correct for the sphere described? (CCSS 7.G.B.6; CA 7.G.B.6; MA 7.G.B.6)

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

Grade 8

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 8.147 Surface Area of Spheres skill assessments:

Problem 1Difficulty: Hard
A globe's radius is 1.5 times 8 cm. Which exact surface area is correct?
A144pi cm2
B2304pi cm2
C288pi cm2
D576pi cm2
Solution & Explanation:The radius is 1.5 × 8 = 12 cm. Then use S = 4pi r2. That gives S = 4pi(122) = 576pi cm2.
Problem 2Difficulty: Hard
A sphere has the same diameter as a circle whose circumference is 24pi cm. Which exact surface area is correct?
A288pi cm2
B576pi cm2
C144pi cm2
D1152pi cm2
Solution & Explanation:A circle with circumference 24pi cm has diameter 24 cm. The sphere surface area is pi(242) = 576pi cm2.
Problem 3Difficulty: Hard
A student says the surface area of a sphere with diameter 18 cm is 1296pi cm2 because 4pi(182) = 1296pi. Which response is correct?
AThe student used the diameter as the radius; the correct surface area is 324pi cm2.
BThe student should divide by 2 after squaring; the correct surface area is 648pi cm2.
CThe student is correct because surface area is always 4pi d2.
DThe student forgot to square 18; the correct surface area is 72pi cm2.
Solution & Explanation:A diameter of 18 cm means the radius is 9 cm. Then S = 4pi(92) = 324pi cm2, or use S = pi(182) = 324pi cm2.

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Frequently Asked Questions

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QIs this 8.147 Surface Area of 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 Grade 8 Math students. It aligns with educational standard 7.G.B.6 (Primary standard selected for prompt fields: CCSS 7.G.B.6. Skill statement: Which surface area is correct for the sphere described? Associated standards listed with this skill: CCSS 7.G.B.6; CA 7.G.B.6; MA 7.G.B.6. Use this embedded wording as the best available supporting standard description for this workflow.).

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