Surface Area and Volume - Worksheet 10 - 7th Grade

Hard

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

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

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

About This Worksheet

This hard-level worksheet contains 18 problems designed for 7th Grade students practicing surface area and volume. 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 volume 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 volume.
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 volume.
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 volume.
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 volume.
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 volume.
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 volume.
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 volume.
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 volume.
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 volume.

Answer Key

1. 142 cm²2. 8 cm³3. 404 cm²4. 96 cm³5. 166 cm²6. 60 cm³7. 214 cm²8. 72 cm³9. 254 cm²10. 120 cm³11. 104 cm²12. 576 cm³13. 202 cm²14. 108 cm³15. 76 cm²16. 64 cm³17. 48 cm²18. 240 cm³

Frequently Asked Questions

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What skills does this geometry worksheet cover?

This worksheet focuses on geometry, surface area, volume, formulas. It is designed for 7th 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.