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...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created...
University of Utah
Geometry Part 2: Measurement in 2- and 3-Dimensions, Plane Sections of Solids
What kind of tree does a math teacher climb? A geometry! Here is a lesson that includes all the geometry resources you could ever wish for in one comprehensive workbook. Class members demonstrate what they have learned by...
Curated OER
Surface Area and Volume
In this surface area and volume activity, 10th graders solve 10 different problems that includes various types of solids and cylinders. First, they determine the surface area for each figure given certain measurements. Then, students...
Curated OER
Geometry Practice: Volume
For this volume worksheet, students find the volume of 6 solids. Students find the volume of rectangular and triangular prisms.
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
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...
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...
Curated OER
Surface Area and Volume
In this geometry worksheet, 10th graders determine the lateral area, surface area, and volume of pyramids and prisms. The one page worksheet contains five problems. Answers are not included.
Curated OER
Volume and Surface Area
In this volume and surface area instructional activity, 10th graders solve and complete 10 different word problems that include measuring various solids and cylinders. First, they determine the surface area of a cube and the edge of it....
Curated OER
Solids...Volume and Surface Area
In this volume and surface area worksheet, students find the volume and surface area of different solid figures. Students complete 8 problems.
Curated OER
Volume Worksheet I
In this volume worksheet, students recognize three-dimensional figures, identify the proper volume formula, and then solve the equation by inserting information from a diagram into the formula. Students solve six equations.
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...
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...
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
Geometry: Calculating Volumes
In this volume worksheet, middle schoolers find the volume of 8 prisms. Students are given the length, width, and height of each prism.
Curated OER
The Geometry of Solids
In this solids worksheet, learners compute the volume of prisms, cylinders, pyramids, spheres and cones. This seven-page worksheet contains approximately 68 problems.
Old Dominion University
Introduction to Calculus
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
Curated OER
Volumes of Solids of Revolution
In this geometry activity, 10th graders use Styrofoam to model volume of solids and calculate the revolution. There is an answer key to this word problem.
Curated OER
Calculating Volumes
In this geometry learning exercise, students, calculate the volume given the sides of the shapes. There are 6 questions dealing with volumes.
Curated OER
Volume and Surface Area of Solids
In this solids worksheet, 10th graders solve and complete 10 different word problems that include determining the volume and surface area of various solids. First, they determine the surface area of a cube as described. Then, students...
Curated OER
Similar Objects
For this geometry worksheet, students walk through the process of comparing the scale factor of two cylinders' surface area and volume and answer questions about the scale factor of prisms. There are 15 questions.
Curated OER
Volume and Surface Area
In this volume and surface area worksheet, 10th graders solve and complete 12 different types of problems. First, they find the volume of an isosceles trapezoid. Then, students find the volume and total surface area of a sphere. They...