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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...
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...
Annenberg Foundation
Geometry 3D Shapes: Test Your Skills
Time to find out what they've learned! The final lesson of a five-part series has learners complete a 39-question multiple choice review. They use what they've learned in the previous lessons to complete questions that include concepts...
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
EngageNY
End-of-Module Assessment Task - Geometry (module 3)
It's test time! Determine your class's understanding of the topics of volume and cross sections with a thorough assessment on volume, area, and geometric shapes.
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
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.
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
Khan Academy
Khan Academy: Solid Geometry Word Problems
In this exercise, students practice volume word problems with cones, cylinders, and spheres. Students receive immediate feedback and have the opportunity to watch a video, get hints, or try questions repeatedly.
Khan Academy
Khan Academy: Solid Geometry Word Problems
Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Solid Geometry
Find volumes and surface areas of boxes, cylinders, and triangular prisms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Solid Geometry Word Problems
Solve problems concerning real-world situations with the volumes of cones, cylinders, and spheres.
Oswego City School District
Regents Exam Prep Center: Practice With Applied Solids
A seven-question quiz will help you practice answering questions dealing with the volume and area of solids.
Oswego City School District
Regents Exam Prep Center: Practice With Solids
Quiz your knowledge of three-dimensional figures, specifically volume and surface area, with this sixteen-question practice exercise.
McGraw Hill
Glencoe Online Study Tools: Volume of Cylinders
This is a great place to practice using the formula for finding the volume of a cylinder. A hint is available as well as the correct answer for each problem.
Mr. Martini's Classroom
Mr. Martini's Classroom: Volume: Geometry Practice Solving Volumes
Students solve for the volume of three-dimensional figures such as cubes, prisms, and cylinders with these interactive flashcards.