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
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...
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
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
Finding Volume
Sixth graders develop a rule for finding the volume of rectangular solids using colored cubes. They investigate the properties of solid figures and find the volume of an object by counting units. Students fill spaces with standard-sized...
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...
Curated OER
Using Your Marbles - Volume Measurement and Reporting
Demonstrate how to measure the volume of liquids and solids immersed in liquid to your class. They observe a teacher-led demonstration, and in small groups construct a data table that demonstrates how many marbles were used and the...
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
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.
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
Volumes of Solids
In this volume worksheet, students observe diagrams and extrapolate the correct items to plug into a formula for volume. They find the volume of triangular prisms, cylinders, cones, rectangular prisms, and rectangular pyramids. Four of...
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...
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
Finding Volume
In this volume worksheet, students are given the equations for finding the volume of a cube and the volume of a prism. They solve two multi-part problems finding the volumes of different solids.
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...
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...
It's About Time
Mass and Volume
Don't be so dense that light bends around you; study the relationship between mass and volume instead. Young chemists measure the density of a variety of liquids and solids. A reading passage and analysis questions introduce pupils to...
Charleston School District
Pre-Test Unit 8: Geometry Applications
What does a squared and b squared make? C squared of course! The pre-test assesses eighth graders' knowledge of the Pythagorean Theorem, application of the Pythagorean Theorem, and finding volumes of solids.
Curated OER
Volumes of Solids of Revolution
In this volumes of solids worksheet, pupils determine the volume of a solid of revolution by using the disk/washer method or the shell method. Explanations and examples are given prior to the exercise. This one-page worksheet contains...
Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...