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...
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
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
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...
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
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 and Surface Area
Students explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Students discuss area.
Curated OER
Volume and Surface Area: Which Is More?
Students 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 surface...
Curated OER
Surface Area and Volume of Similar Solids
Learners explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Curated OER
Surface Area of Spheres
Students identify the properties of a sphere. In this geometry instructional activity, students calculate the surface area of spheres using the formula derived by nets. They identify the radius and diameter of the sphere.
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 Rectangular Prisms
Introduce the procedure needed to find the volume of a rectangular prism. Learners rank various prisms such as cereal boxes and tissue boxes from smallest to largest volume. They use an applet to find the volume and surface area of each...
Shodor Education Foundation
Surface Area of Rectangular Prism
With this interactive lesson plan, learners compute the surface area of rectangular prisms. They visit an online investigation applet and record data on the provided handout. Pair this lesson plan with the volume lesson plan by the same...
Curated OER
Nets, Surface Area and Volume
Students calculate the surface area and volume of a sphere. In this geometry lesson, students define nets, surface areas and volume of prisms, pyramids, cylinders and cones. They use the computer to create nets and analyze shapes.
Curated OER
Surface Area of Cones
Students find the surface area of cones. In this geometry lesson, students calculate the dimensions of each three-dimensional shape and use the correct formula to solve the problem. They relate concepts of cones to the real world.
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
Surface Area to Volume Ratio
Students examine the surface area to volume ratio and how they relate. In this surface area lesson students complete several activities.
Curated OER
Cylinder Volume Lesson Plan
Tenth graders define the formula for cylinders and use it to solve real world problems. For this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Curated OER
Surface Area and Volume of a Cylinder
Seventh graders find the surface area and volume of a cylinder. In this area and volume lesson, 7th graders complete several activities to learn the volume and surface area of cylinders.
Curated OER
Bubbles Everywhere!
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This lesson is a fun way to practice measurement and circle and...
Virginia Department of Education
Similar Solids and Proportional Reasoning
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
Neufeld Learning Systems
Concept: Exponents in Formulas
For this volume and surface area worksheet, students use their calculators to find the volume or surface area of a pictured 3-dimensional figure.
Curated OER
A Sphere and Its Net
Students identify and sketch the nets for sphere. In this geometry instructional activity, students differentiate between two and three dimensional shapes. They find the surface area of each sphere.
Cornell University
Scaling Down: Effects of Size on Behavior
Two activities explore the concept of size, especially small sizes down to the nano. Scholars practice determining volume, mass, and density and calculate exponential increases and decreases. They then predict and test the effect of size...