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.
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.
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...
Utah Education Network (UEN)
Insides and Outsides
Give small groups handfuls of unit cubes and then dare them to build as many rectangular prisms as possible using only 12 cubes. This engaging activity serves as an introduction to the volume of solid figures. In addition to volume,...
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...
Curated OER
Dihedral Figures
Middle and high schoolers perform transformations. For this web based lesson, students explore dihedral figures. They use the web tools to translate, rotate, and reflect figures. Pupils identify lines of symmetry.
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...
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
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson plan of the series, learners find the volume of composite solids. The lesson plan the asks them to deconstruct the composites into familiar figures and use volume...
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...
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 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
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
Exploring Number and Operation in Secondary Mathematics
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
Curated OER
CORNER CABINET
Ninth and tenth graders calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They solve problems involving scale drawings, models, maps or...
Curated OER
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
Curated OER
Sphere Dressing
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
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.
EngageNY
Truncated Cones
Learners examine objects and find their volumes using geometric formulas in the 21st installment of this 25-part module. Objects take the shape of truncated cones and pyramids, and individuals apply concepts of similar triangles to find...
Pennsylvania Department of Education
Volume of Compound Figures
Fifth graders use patterns, models and relationships to solve equations. In this equations lesson, 5th graders define vocabulary for equations and complete worksheets explaining variables and solving problems.
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...
Santa Monica College
Introducing Measurements in the Laboratory
We use basic units of measurement to break down things and communicate clearly. The first lesson in an 11-part series teaches the proper way to measure various items. It starts simply with measuring the dimensions and areas of geometric...