Free Printable WorksheetMathGrade 8Math Curriculum8.G.B.7

8.146 Surface Area of Cones Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 8 Math worksheet provides structured practice on 8.146 Surface Area of Cones. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

8.146 Surface Area of Cones - Which surface area is correct for the cone described (including using slant height correctly)? (CCSS 7.G.B.6; CCSS 8.G.B.7; 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 8.146 Surface Area of Cones skill assessments:

Problem 1Difficulty: Hard
Which cone has the same total surface area as a cone with r = 8 cm and l = 17 cm? Cone A: radius 7 cm, slant height 20 cm Cone B: radius 5 cm, slant height 35 cm Cone C: radius 9 cm, slant height 12 cm Cone D: radius 4 cm, slant height 44 cm
ACone C
BCone A
CCone B
DCone D
Solution & Explanation:The reference cone has coefficient 64 + 136 = 200. Checking the options, Cone B also gives 200π.
Problem 2Difficulty: Hard
A student builds a cone from a sector with radius 25 cm and arc length 14π cm. Find the exact total surface area.
A674π
B546π
C224π
D175π
Solution & Explanation:The arc length becomes the base circumference, so 2πr = 14π and r = 14/2 = 7. The sector radius is the slant height, so l = 25. Then S = 49π + 175π = 224π.
Problem 3Difficulty: Hard
True or False: For a cone with radius 12 cm and height 35 cm, the total surface area can be found with S = πr2 + πrh.
ATrue
BFalse
Solution & Explanation:False. The lateral area uses slant height, not vertical height. First find l = sqrt(122 + 352) ≈ 37.0, then use S = πr2 + πrl.

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Frequently Asked Questions

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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 8.G.B.7 (Primary standard selected for prompt fields: CCSS 8.G.B.7. Skill statement: Which surface area is correct for the cone described (including using slant height correctly)? Associated standards listed with this skill: CCSS 7.G.B.6; CCSS 8.G.B.7; 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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