Volume - Worksheet 5 - 10th Grade
MediumCalculate the volume of 3D solids (Medium)
22 problems · 20-25 minutes · Skills: volume, 3D geometry, measurement
About This Worksheet
This medium-level worksheet contains 22 problems designed for 10th Grade students practicing volume of 3d solids. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Volume measures the capacity of three-dimensional space and is fundamental to chemistry, physics, engineering, and everyday life. The formulas for volumes of cones and pyramids (one-third times the corresponding prism or cylinder) reveal a deep mathematical relationship that connects to integral calculus.
- Calculate the volume of prisms, cylinders, pyramids, cones, and spheres
- Apply Cavalieri's Principle to relate volumes of solids with equal cross-sections
- Solve real-world volume problems involving capacity and material quantities
- Convert volume between different cubic units and between volume and capacity measures
- Compare volumes of similar solids using the cube of the scale factor
How to Solve: Worked Example
- Volume = πr²h.
- r² = 100.
- 100 × 10 = 1000, so V = 1000π.
Answer Key
Frequently Asked Questions
How do I download this volume - worksheet 5 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 volume, 3D geometry, measurement. 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 22 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.