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 students. This comprehensive Common Core lesson plan starts with writing and graphing linear equations to define a bounded...
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...
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
Geometry and Measurement
Young geometers explore relationships between units of measure and objects. Three activities provide varied opportunities to practice. Learners calculate the volume of two cylinders made by rolling a piece of paper vertically and...
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
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
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.
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 of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry lesson, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
Curated OER
Volume and Surface Area, A Sweet Activity
Geometry.... sweet! Using sugar cubes, learners build rectangular prisms of different sizes and shapes. They glue them together and assess volume. Then they color the outer sides to visualize and compute surface area. To make a visceral...
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...
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...
Curated OER
Volume and Surface Area
Young scholars explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Young scholars discuss area.
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 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 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
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
Young scholars, after reviewing the measuring of the lengths of sides of different shapes along with the calculation of their perimeters and areas, encounter what it means by the 'perimeter' of a polygon. They practice measuring units of...
Curated OER
Geometry and Shapes
High schoolers discuss and identify polygons and lines. In this geometry lesson, learners review liner, square and cubic units so they can incorporate it into the lesson on measurement and creating packing that are cost effective.
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
Garden Variety Geometry
A home improvement plan can help adult learners preparation for the GED exam. They review vocabulary, prepare diagrams, complete a worksheet, calculate perimeters and analyze how to approach a story problem. They identify many geometry...
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
Solid Surface Area
Students calculate the area of solids. In this geometry lesson, students use formulas to find the surface are and the volume of solids. They investigate 3-dimensional shapes.