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.
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...
Curated OER
Volume of Solids
In this volume of solids activity, 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 measure of 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
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...
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...
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...
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...
Curated OER
Volume of a Cylinder
Middle and high schoolers calculate the volume of cylinders. They measure the height, radius and diameter of cylinders. Following given formulas, students calculate the area and volume of the cylinder. They compare cylinders and predict...
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th activity of the module. They then use their formulas to calculate volume.
Curated OER
Surface Area and Volume
In this surface area and volume activity, 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 Solids: Algebra/Geometry Institute
Use this volume of solids lesson plan 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.
Houghton Mifflin Harcourt
Unit 7 Math Vocabulary Cards (Grade 6)
Thirty-eight flashcards make up a set designed to reinforce math vocabulary. Two types of cards can be found here; a word card in bold lettering, and a corresponding definition card that offers a labeled example. Terms include area,...
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...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 4)
In need of math vocabulary cards? Use a set of 66 vocabulary cards with topics focused mostly on geometry terms. Each sheet has two cards on it. The top half has the word printed in bold text, while the bottom half has the card with the...
Houghton Mifflin Harcourt
Unit 6 Math Vocabulary Cards (Grade 3)
A set of 49 math vocabulary cards ranges from angle to irregular polygon to parallel lines. Each sheet contains two cards: one with the word printed in bold text and the other with the definition.
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...
Scholastic
Study Jams! Solid Figures
Figure out the correct name for different three-dimensional shapes by watching the presentation on solid figures. Go through the main figures and read about the characteristics of each. Finish the topic with a multiple choice online...
Mathed Up!
Simple Perimeter, Area, and Volume
Young mathematicians find the area and perimeter of shaded shapes on a grid of unit squares. The sheets challenge class members to find the volume of various solid prisms. Each questions also includes the total value of suggest points...
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 high schoolers. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a...
CK-12 Foundation
Volume by Disks: The Vase Case
Finding the volume is an integral characteristic of a vase. Using the idea that summing the areas of cross-sectional disks will calculate the volume of a rotational solid, pupils find the volume of a vase. Scholars determine the interval...
CK-12 Foundation
Volume by Cross Section: Volume of the Cone
Discover another way to find the volume of a cone. Pupils explore how the area of a cross section changes as it moves through a cone. The interactive uses that knowledge to develop the integral to use to find the volume of the cone....