Free printable worksheet

Surface Area Review Worksheet

Twelve surface-area problems involving common solids, open figures, and scaling.

GeometryGrades 8-114 pagesAnswer key included

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What this worksheet includes

  • Twelve surface-area problems involving common solids, open figures, and scaling.
  • 4-page printable PDF with a complete answer key
  • Designed for Grades 8-11 geometry practice
  • First-page preview available before the free email unlock

How to use it

Use this surface area review worksheet for guided practice, independent review, homework, tutoring sessions, or a quick skills check. The spacious layout is designed to leave room for students to show their work rather than guess from crowded answer choices.

After students finish, compare their reasoning with the included answer key. When an answer is incorrect, have the student locate the first step where their work changed direction before trying the problem again.

Who this practice is for

This resource is designed for grades 8-11 students working on geometry. Teachers, tutors, homeschool families, and parents can preview the first page before deciding whether the level and spacing fit the student.

Looking for a broader sequence? Browse all Geometry worksheets.

Topic guide

How to approach surface area review

Surface Area Review practice is most effective when students identify the governing definition, theorem, or rule before beginning a calculation. Twelve surface-area problems involving common solids, open figures, and scaling.

This geometry set moves from direct applications into mixed review. Students should preserve exact values, label each important step, and use the answer key to locate the first point where an incorrect solution changes direction.

Learning objectives

  • Recognize the central rules and representations used in surface area review
  • Apply an efficient procedure to solve surface area review problems
  • Check results using notation, substitution, estimation, or a relevant inverse process

Skills to review first

  • Core vocabulary connected to surface area review
  • Accurate arithmetic and algebraic simplification
  • Reading mathematical notation and showing work in a logical sequence
Worked example

Follow the reasoning step by step

Plan and solve a representative surface area review problem from Part A.

  1. List the given information and state what must be found.
  2. Select the definition, theorem, formula, or procedure that applies to surface area review.
  3. Substitute or transform carefully, keeping one logical change on each line.
  4. Check the result against the original conditions and include units or restrictions when needed.

Solution: A complete solution includes the correct result and enough reasoning to verify it.

Try before downloading

Three sample problems

Work each problem, then open the answer to check your result.

Problem 1 · foundations

Find the total surface area of a cube with side length s=5s=5.

Show answer

6(52)=1506(5^2)=150

Problem 2 · skill practice

Find the total surface area of a solid hemisphere with radius r=6r=6, including its circular base.

Show answer

3π(62)=108π3\pi(6^2)=108\pi

Problem 3 · mixed review

Find only the lateral surface area of a cylinder with r=2r=2 and h=9h=9. Give an exact answer in terms of π\pi.

Show answer

2π(2)(9)=36π2\pi(2)(9)=36\pi

Error check

Common mistakes to watch for

  • Beginning a calculation before identifying the relevant rule or given information
  • Dropping a sign, unit, restriction, or exact-value symbol during simplification
  • Comparing only the final answer instead of checking the first incorrect step