Surface Area and Volume - Worksheet 5 - 7th Grade

Medium

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

medium: Use larger dimensions or combine parts.

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

About This Worksheet

This medium-level worksheet contains 14 problems designed for 7th Grade students practicing surface area and volume. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.

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 4 cm by 7 cm by 3 cm. Find its total surface area.
2
A closed rectangular prism measures 11 cm by 7 cm by 4 cm. Find its volume.
3
A closed rectangular prism measures 7 cm by 3 cm by 2 cm. Find its total surface area.
4
A closed rectangular prism measures 11 cm by 2 cm by 3 cm. Find its volume.
5
A closed rectangular prism measures 7 cm by 7 cm by 3 cm. Find its total surface area.
6
A closed rectangular prism measures 11 cm by 5 cm by 5 cm. Find its volume.
7
A closed rectangular prism measures 11 cm by 2 cm by 9 cm. Find its total surface area.
8
A closed rectangular prism measures 5 cm by 8 cm by 6 cm. Find its volume.
9
A closed rectangular prism measures 8 cm by 5 cm by 9 cm. Find its total surface area.
10
A closed rectangular prism measures 6 cm by 6 cm by 3 cm. Find its volume.
11
A closed rectangular prism measures 5 cm by 8 cm by 3 cm. Find its total surface area.
12
A closed rectangular prism measures 6 cm by 9 cm by 3 cm. Find its volume.
13
A closed rectangular prism measures 11 cm by 4 cm by 5 cm. Find its total surface area.
14
A closed rectangular prism measures 5 cm by 9 cm by 6 cm. Find its volume.

Answer Key

1. 122 cm²2. 308 cm³3. 82 cm²4. 66 cm³5. 182 cm²6. 275 cm³7. 278 cm²8. 240 cm³9. 314 cm²10. 108 cm³11. 158 cm²12. 162 cm³13. 238 cm²14. 270 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?

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How many problems are on this worksheet?

This worksheet contains 14 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.