Composite Figures - Worksheet 7 - 10th Grade
MediumFind area and volume of composite figures (Medium)
18 problems · 25-30 minutes · Skills: area, volume, problem solving
About This Worksheet
This medium-level worksheet contains 18 problems designed for 10th Grade students practicing composite figures. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Composite figure problems demand both conceptual understanding and procedural skill — students must identify the component shapes, choose the right formulas, and combine or subtract correctly. This multi-step problem solving develops exactly the flexible thinking needed for more advanced mathematics.
- Decompose complex figures into familiar shapes to find total area or volume
- Find the area of a shaded region by subtracting areas of component shapes
- Apply composite figure reasoning to real-world contexts like floor plans and cross-sections
- Determine missing dimensions needed to calculate composite areas
- Calculate volume of composite 3D solids by adding component volumes
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this composite figures - worksheet 7 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this area & volume worksheet cover?
This worksheet focuses on area, volume, problem solving. It is designed for 10th 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 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.