Free Printable WorksheetMathGeometryMath CurriculumG-GMD.A.3

GEO.167 Distinguish lateral area from total surface area Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Geometry Math worksheet provides structured practice on GEO.167 Distinguish lateral area from total surface area. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

GEO.167 Distinguish lateral area from total surface area - Primary standard selected for prompt fields in this prompt cell: CCSS G-GMD.A.3. Skill statement in this prompt cell: Select whether lateral or total surface area is needed and compute the requested area for 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

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Below are sample questions representative of the exercises included on this worksheet and related GEO.167 Distinguish lateral area from total surface area skill assessments:

Problem 1Difficulty: Mastery
A square pyramid has base side length 16 yards and slant height 12 yards. One order covers only the triangular side faces, and another order covers the whole closed pyramid. Which ordered pair gives (lateral area, total surface area)?
A(192 square yards, 448 square yards)
B(384 square yards, 640 square yards)
C(384 square yards, 768 square yards)
D(512 square yards, 640 square yards)
Solution & Explanation:The lateral area is (1/2)(4*16)(12) = 384 square yards. The base area is 162 = 256, so the total surface area is 384 + 256 = 640 square yards.
Problem 2Difficulty: Mastery
For a right prism with lateral area L and base area B, which formula gives the total surface area of the closed prism?
AL + B
BL + 2B
C2L + B
DLB
Solution & Explanation:A closed right prism has two congruent bases. Total surface area is the lateral area plus both base areas, so the formula is L + 2B.
Problem 3Difficulty: Mastery
A cylinder's lateral area is 144pi square meters, and its total surface area is 216pi square meters. How much area is added by the two circular bases?
A36pi square meters
B72pi square meters
C144pi square meters
D360pi square meters
Solution & Explanation:Total surface area equals lateral area plus the two bases. The added base area is 216pi - 144pi = 72pi square meters.

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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 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 whether lateral or total surface area is needed and compute the requested area for 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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