Printable Volume Worksheet | Grade 8 Geometry

This geometry worksheet provides focused practice for students in calculating the volume of common three-dimensional shapes. Learners will work through problems involving rectangular prisms, triangular prisms, cylinders, cones, and spheres, applying the correct formulas to find the volume for each figure. It is an essential resource for mastering key Grade 8 geometry skills.

At a Glance

• Grade: 7–10 · Subject: Geometry
• Standard: CCSS.MATH.CONTENT.8.G.C.9 — Use volume formulas for cones, cylinders, and spheres to solve problems.
• Skill Focus: Calculating Volume
• Format: 5 pages · 28 problems · Answer key included · PDF
• Best For: Independent practice, homework, or unit review.
• Time: 40–55 minutes

What's Inside

This comprehensive 5-page worksheet contains 28 problems organized by shape, allowing for targeted practice. The first two pages cover prisms and cylinders, while the subsequent pages introduce cones and spheres. A complete 5-page answer key is included, showing the solutions for every problem, making for quick and easy grading.

Skill Progression

This resource follows a logical skill progression.

• Guided Practice: The first page acts as guided practice with six problems on basic rectangular and triangular prisms, using clear diagrams and whole numbers to build initial confidence.
• Supported Practice: Pages 2 and 3 add complexity with cylinders and cones. Students apply new formulas across 12 distinct tasks with a consistent problem structure.
• Independent Practice: The final two pages challenge students to work independently on 10 problems, including spheres and mixed shapes, to demonstrate mastery.

This structure ensures students build a solid foundation before tackling complex figures.

Standards Alignment

This worksheet is directly aligned with the Common Core State Standard CCSS.MATH.CONTENT.8.G.C.9, which requires students to "know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems." The tasks provided give students ample opportunity to practice applying these specific formulas in a mathematical context. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

This versatile worksheet is ideal for independent practice after a lesson on volume formulas. Assign the first two pages as classwork and the rest for homework. For formative assessment, observe how students substitute values into the formulas, a common error point. The entire packet should take most students between 40-55 minutes to complete.

Who It's For

This resource is designed for students in Grade 7 through Grade 10 Geometry who are learning or reviewing volume calculations. The clear layout benefits all learners, including those with organizational challenges. To support struggling students, provide a formula reference sheet as an anchor chart. The worksheet pairs well with hands-on activities using 3D geometric solids.

This worksheet provides practice on CCSS.MATH.CONTENT.8.G.C.9, requiring students to apply volume formulas for cylinders, cones, and spheres. Mastering spatial reasoning and formula application is a key predictor of success in higher-level mathematics. Research has shown that procedural fluency, built through structured practice, is essential for developing conceptual understanding. According to Fisher & Frey (2014), effective instruction moves from guided to independent work, a principle in this resource's design. With 28 problems across 5 pages, this worksheet gives students the focused practice needed to commit volume formulas to memory and apply them accurately. It provides the repetition to build automaticity for key geometric calculations.