Surface Area Review Worksheet
Twelve surface-area problems involving common solids, open figures, and scaling.
Preview the first page, then enter your email once to unlock the complete PDF.

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.
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
Follow the reasoning step by step
Plan and solve a representative surface area review problem from Part A.
- List the given information and state what must be found.
- Select the definition, theorem, formula, or procedure that applies to surface area review.
- Substitute or transform carefully, keeping one logical change on each line.
- 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.
Three sample problems
Work each problem, then open the answer to check your result.
Find the total surface area of a solid hemisphere with radius , including its circular base.
Show answer
Find only the lateral surface area of a cylinder with and . Give an exact answer in terms of .
Show answer
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