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
Definition and Properties of Volume
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder.
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...
Virginia Department of Education
Geometry and Volume
The history of math is fascinating! Utilize a woodcut primary source image from 1492 and posters from the 1930s to help geometers apply their volume-calculation skills to real-life questions.
Curated OER
Volume of Prisms
Students calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
Curated OER
Regents Exam Questions G.G.12: Volume
In this volume worksheet, students solve 12 short answer and multiple choice problems. Students find the dimensions of prisms given their volume in terms of quadratic and a linear expression.
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 constant.
Curated OER
Surface Area and Volume
Upper graders identify the surface area and attributes of figures that are measurable. They estimate, measure, and record perimeter, area, temperature change, and elapsed time, using a variety of strategies. They also determine 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
Surface Area of Prisms
Students compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine the volume,...
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 for the...
Mathematics Assessment Project
Estimating Volume: The Money Munchers
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
EngageNY
Examples of Functions from Geometry
Connect functions to geometry. In the ninth installment of a 12-part module, young mathematicians create functions by investigating situations in geometry. They look at both area and volume of figures to complete a well-rounded lesson.
Curated OER
Geometry, Measurement & Reasoning
Learners measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Learners use paper to create prisms and cylinders. They determine...
Curated OER
Geometry Practice: Volume
In this volume worksheet, young scholars find the volume of 6 solids. Students find the volume of rectangular and triangular prisms.
Curated OER
Volume and Surface Area: Which Is More?
Young scholars explore the volume and surface area of three dimensional figures. Through the use of video, students discover three dimensional shapes, their uses in real-life applications, and methods used to calculate their volume and...
Curated OER
Shipping Rolled Oats
What better way to start your day than with a box of oatmeal? Or what better way to start your geometry class than by calculating its volume? Eighth graders discover just how practical volume computation can be in business and in breakfast!
Curated OER
Volume of Rectangular Prisms: Algebra/Geometry Institute Summer 2009
Students find the volume of rectangular prisms. In this volume lesson, students use a formula to find the volume of rectangular prisms. They discuss the definition of volume and draw rectangular prisms. Students identify the parts of...
Curated OER
Volume and Surface Area of Right Rectangular Prisms
Students identify the formulas for three-dimensional figures. They use manipulatives to model problems. Students create foldables and explain volume and surface area. Students complete worksheets and classify solids. Students sing a...
Curated OER
Volumes of Rectangular Prisms
Students determine the volume of a rectangular prism. They then maximize and minimize the volume given variable side lengths. Finally, they factor the volume equation to determine the side lengths.
Curated OER
Surface Area and Volume
Students are introduced to the notion of surface area and volume, learn the terminology used with surface area and volume and have experimented with the surface area and volume of different prisms.
Curated OER
Marshmallow Geometry
In this three-dimensional shapes geometry lesson, learners identify geometric solids and name their properties. They define "face," "edge," and "vertex," and construct geometric solids using marshmallows as vertices and toothpicks as edges.
Curated OER
The Value of Volume
Students measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of triangles.
Curated OER
Dissecting the Cube
Students investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.