Surface Area - Worksheet 10 - 6th Grade

Hard

Use labeled dimensions to calculate surface area and explain the units.

hard: Solve for a missing measure or explain a relationship.

18 problems · 20-30 minutes · Skills: geometry, surface area, formulas

About This Worksheet

This hard-level worksheet contains 18 problems designed for 6th Grade students practicing surface area. Hard worksheets feature challenging problems including multi-step questions, missing values, and real-world applications to push students further.

Read labeled dimensions and coordinates. Recall multiplication facts and length units.

  • Use labeled dimensions to calculate surface area and explain the units.
  • Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: A closed rectangular prism measures 5 cm by 7 cm by 4 cm. Find its total surface area.
Solution Steps:
  1. Add the areas of all six faces: 2lw + 2lh + 2wh.
Answer: 166 cm²
Tip: Check your result using the method in the example before moving to the next question.
1
A closed rectangular prism measures 5 cm by 3 cm by 7 cm. Find its total surface area.
2
A closed rectangular prism measures 2 cm by 2 cm by 2 cm. Find its total surface area.
3
A closed rectangular prism measures 11 cm by 8 cm by 6 cm. Find its total surface area.
4
A closed rectangular prism measures 4 cm by 4 cm by 6 cm. Find its total surface area.
5
A closed rectangular prism measures 7 cm by 5 cm by 4 cm. Find its total surface area.
6
A closed rectangular prism measures 4 cm by 3 cm by 5 cm. Find its total surface area.
7
A closed rectangular prism measures 7 cm by 6 cm by 5 cm. Find its total surface area.
8
A closed rectangular prism measures 4 cm by 2 cm by 9 cm. Find its total surface area.
9
A closed rectangular prism measures 4 cm by 7 cm by 9 cm. Find its total surface area.
10
A closed rectangular prism measures 5 cm by 6 cm by 4 cm. Find its total surface area.
11
A closed rectangular prism measures 5 cm by 6 cm by 2 cm. Find its total surface area.
12
A closed rectangular prism measures 8 cm by 9 cm by 8 cm. Find its total surface area.
13
A closed rectangular prism measures 4 cm by 5 cm by 9 cm. Find its total surface area.
14
A closed rectangular prism measures 2 cm by 6 cm by 9 cm. Find its total surface area.
15
A closed rectangular prism measures 4 cm by 5 cm by 2 cm. Find its total surface area.
16
A closed rectangular prism measures 4 cm by 2 cm by 8 cm. Find its total surface area.
17
A closed rectangular prism measures 5 cm by 2 cm by 2 cm. Find its total surface area.
18
A closed rectangular prism measures 12 cm by 5 cm by 4 cm. Find its total surface area.

Answer Key

1. 142 cm²2. 24 cm²3. 404 cm²4. 128 cm²5. 166 cm²6. 94 cm²7. 214 cm²8. 124 cm²9. 254 cm²10. 148 cm²11. 104 cm²12. 416 cm²13. 202 cm²14. 168 cm²15. 76 cm²16. 112 cm²17. 48 cm²18. 256 cm²

Frequently Asked Questions

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What skills does this geometry worksheet cover?

This worksheet focuses on geometry, surface area, formulas. It is designed for 6th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.

How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.