Virginia Department of Education
The Ratio of Surface Area to Volume
Demonstrate the ratio of surface area to volume in your high school class by using phenolphthalein, gelatin, and an onion. Intrigue the class by leading a discussion on osmosis and diffusion, then making "scientific jello." Participants...
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
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...
Digital Lesson
Cereal Box Surface Area
How much math can your learners pour out of a cereal box? Your middle schoolers will explore their favorite cereal and calculate the surface area, volume, and weight ratios and log this information on the provided worksheet. They get to...
Curated OER
The Luxor - Pyramids, Surface Area & Volume
Young scholars investigate the surface area and volume of the Luxor Hotel in Las Vegas. They calculate the slant height, lateral edge, and diagonal length of the base. Using this information, students explore other areas of the hotel,...
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...
Pennsylvania Department of Education
Volume and Surface Area
Build boxes using unit cubes to compare surface area and volume. The group performs multiple experiments to determine properties of volume, such as if it makes a difference which order the dimensions are multiplied in. Extensive...
National Nanotechnology Infrastructure Network
Learning About Surface Area and Volume
Plan a dinner party. Using a book by Marilyn Burns as a context, pupils learn about the relationships between area and perimeter and surface area and volume. The hands-on activities have learners rearrange tables and cut up meatballs to...
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, 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...
Curated OER
Concept Attainment Model: Volume and Surface Area
Using a concept attainment approach, learners identify surface area and volume by sorting examples (photos) that depict each concept (positive) from those that don't (negative). Then as a class, they develop definitions of each term...
Curated OER
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson plan 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 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.
Virginia Department of Education
Surface Area of a Rectangular Prism
Wrap up a lesson on surface area with a resource that asks scholars to use the idea of wrapping paper to investigate surface area. They draw representations of rectangular prisms on graph paper to find the areas of the respective...
Curated OER
Area, Surface Area and Volume of 3-D Shapes
Math whizzes examine the relationship between area and volume and the relationship between a 3-D shape and its surface area. Following discussion and practice, pupils participate in a project in which they design packaging for a new...
Nuffield Foundation
Effect of Size on Uptake by Diffusion
Cell size is limited by the surface area to volume ratio, but why is this true? Scholars measure the surface area and volume of cubes before placing them into liquid. After a set amount of time, they measure the uptake by diffusion for...
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
Surface Area, Who Needs it?
In this geometry lesson on cylinders, geometers explore how to find the smallest surface area for a given volume. They use their knowledge to relate it to the real world by making a model of a livestock tank.
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
Turn UP the Volume!
Eighth graders find the surface area and volume of the figures and enter formulas into the spreadsheet to calculate surface area and volume for the given figures. They also find the volume and determine the shape which has the least...
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
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,...
Cord Online
Pyramids and Cones
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume in the world around us by applying formulas to a model of the classroom so they can determine the volume and surface area of the room.