Middle School Volume And Surface Area Worksheets
Frustums

Matching 3D Shapes with Formulas

Matching Formulas for Pyramids, Cones, and Spheres

Surface Area of a Cone

Surface Area of a Sphere

Surface Area of Cones and Spheres

Surface Area of Cubes

Surface Area of Prisms

Volume and Surface Area of Cones and Spheres

Volume and Surface Area of Cuboid

Volume and Surface Area of Rectangular Prisms

Volume of a Cone

Volume of a Pyramid

Volume of a Sphere

Volume of Conical Frustums

Volume of Cubes

Volume of Prisms and Cylinders

Volume of Pyramids and Cones

Volume of Pyramids Cones and Spheres

Volume of Square-based Truncated Pyramids

Volume Word Problems

All worksheets are created by the team of experienced teachers at Cazoom Math.
Improve Test Results Using Cazoom Math 7th Grade Geometry Regularly
Middle school students connect their prior knowledge of two-dimensional shapes and three-dimensional objects to extend area concepts to surface measurements of solids. Through hands-on exploration with prisms, pyramids, cylinders, and spheres, they develop spatial visualization skills while discovering patterns in geometric formulas.
Regular practice with volume and surface area problems strengthens algebraic thinking as students learn to apply systematic formulas and substitute values. These foundational skills prepare them for high school geometry, with progressively challenging problems building mastery in dimensional analysis and mathematical reasoning.
Worksheet Topics at a Glance: Volume Word Problems, Frustums, Surface Area, and More
The worksheets move from concrete models with labeled dimensions to abstract formula application. Students first work with familiar shapes before tackling cones, spheres, and composite figures. Every worksheet includes detailed answer keys that demonstrate calculation methods step by step.
The worksheets in this collection include: Frustums for truncated solids, Matching 3D Shapes with Formulas, formula matching exercises for pyramids and spheres, Surface Area worksheets for cones, spheres, cubes and prisms, combined Volume and Surface Area problems for various shapes including cuboids and rectangular prisms, Volume worksheets covering individual shapes like cones, pyramids and spheres, specialized topics like Conical Frustums and Square-based Truncated Pyramids, comparison exercises for Prisms and Cylinders, mixed problems for Pyramids Cones and Spheres, and Volume Word Problems applying formulas to real scenarios.
Why do teachers choose our Middle school Volume and Surface Area Resources
Teachers appreciate the clear progression from simple cubes to complex composite shapes. The worksheets offer multiple difficulty levels within each topic for effective differentiation. Quick-to-grade formats save valuable planning and assessment time. Solutions show complete working processes that help teachers identify where students need support.
Cazoom Math worksheets integrate easily into daily warm-ups or homework assignments. The consistent format helps students focus on mathematical concepts rather than instructions. Teachers use these materials for both initial instruction and retrieval practice throughout the year. Extension problems challenge advanced learners while foundation exercises support struggling students.
Beyond Classrooms: Where these skills show up in real life
These mathematical skills help students understand space and capacity in practical situations. They calculate the paint needed for rooms or the material for construction projects. Students estimate storage space and compare product packaging sizes.
Real-world applications include:
• Swimming pool water capacity for chemical treatments
• Concrete volume for skateboard ramps
• Aquarium tank capacity calculations
• Storage space optimization for rooms