Curated OER
Volume of Solids
In this volume of solids learning exercise, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the...
Curated OER
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
Curated OER
Volume of Solid Figures
Learners calculate volume using the correct formula and the correct unit. They explore different prisms, spheres, cubes, and cones as they calculate volume and relate it to depths in oceans.
Curated OER
Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.
Curated OER
Volumes of Solids of Revolution
In this geometry worksheet, 10th graders use Styrofoam to model volume of solids and calculate the revolution. There is an answer key to this word problem.
Primary Resources
Volume (Lesson 1)
Add to your teaching tools an interactive presentation in that it's meant to be used in tandem with manipulative cubes. Each slide asks pupils to create a shape that uses a certain number of unit cubes. They are encouraged to make as...
National Math + Science Initative
Using Linear Equations to Define Geometric Solids
Making the transition from two-dimensional shapes to three-dimensional solids can be difficult for many geometry learners. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a bounded...
Curated OER
Learning About Volume
Learners explore the concept of volume. They develop formulas for volume of prisms. Then use their formulas to find missing dimensions of various prisms such as height, length, width, radius, and diameter.
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Utah Education Network (UEN)
Insides and Outsides
Give small groups handfuls of unit cubes and then dare them to build as many rectangular prisms as possible using only 12 cubes. This engaging activity serves as an introduction to the volume of solid figures. In addition to volume,...
Curated OER
Decomposing Rectangular Solids
In this surface area and volume worksheet, students solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the illustrated...
Curated OER
Surface Area and Volume
In this surface area and volume worksheet, 8th graders solve 11 various geometry problems that include determining the surface area and volume for the measurements given and finding the surface area for each solid shown. Then they...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Teaching Ideas
Volume
After understanding that the volume of a unit cube is one cubic centimeter, math masters determine the volume of four larger rectangular shapes. Then they take the challenge to figure out the volume of seven irregular, cube-containing...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson plan, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and...
Curated OER
Problem Solving: Surface Area or Volume
Strengthen young geometric muscles with this exercise in finding surface area and volume. Six problems provide practice at determining the surface area and volume of two solid figures shown in cubic units, deciding which to find given a...
Virginia Department of Education
Surface Area and Volume
Partners use materials to wrap three-dimensional objects to determine the formula for surface area. The groups use an orange to calculate the amount of peel it takes to completely cover the fruit. Using manipulatives, individuals then...
EngageNY
The Volume Formula of a Sphere
What is the relationship between a hemisphere, a cone, and a cylinder? Using Cavalieri's Principle, the class determines that the sum of the volume of a hemisphere and a cone with the same radius and height equals the volume of a...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two figures do not...
CK-12 Foundation
Linear Equations: Deep Dish Pizza
Explore the volume of solids with a real-life connection. Learners calculate the volume of a deep-dish slice of pizza to determine its price. They model the slice as a part of a cylinder and create a formula for calculating the cost.
Curated OER
Volumes of Solids of Revolution (Disk Method)
Students investigate the concept of computing the volume of solids of revolution using the disk method. The activity requires some access to the Wood Shop to construct needed materials. It includes example problems for the teacher to use.
Curated OER
Twenty Volume Of Solids Problems
In this volume worksheet, students solve twenty volume of various solids problems. The solids examined include: cylinders, cubes, rectangular prism, including how the volumes of these figures change with increased in length. The...
Annenberg Foundation
Geometry 3D Shapes: Surface Area and Volume
Whether you wrap it or fill it, you're using geometric concepts. Classmates use an interactive approach to learn how to find volume and surface area of cylinders and prisms in the second lesson in a five-part series. The online lesson...
Radford University
Fun with Solids
Unlike a volcano, the lesson won't blow up in your face. Young mathematicians use dried beans to discover the relationship between the volumes of cones and cylinders and to write a formula for the volume of a cone. They then research...