Curated OER
Fill and Wrap It Up
Middle schoolers find the surface area and volume of the solid figures by measuring the length and the height of each face and base. They use concrete models to derive formulas for finding perimeter, circumference, area, surface area,...
Curated OER
A Rectangular Prism and Its Net
Identify the nets for prisms and other geometric shapes. Learners calculate the surface area of the rectangular prism then sketch the shapes of prisms and other polygons. Unfolded cereal boxes are used as a visual aid, great idea!
Curated OER
Decomposing Rectangular Solids
In this surface area and volume instructional activity, learners solve and complete 3 different decomposing rectangular solids. First, they use the given formulas for surface area and volume to calculate the measurements of each of the...
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.
Concord Consortium
Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
Alaska Department of Education
Mathematics Reference Sheet
Triangles and prisms don't stand a chance when your learners use this handout full of the formulas they need to know about the different shapes. Area, volume, and surface formulas are all covered along with the standard measurement and...
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...
Curated OER
Area, Surface, and Volume
Ninth graders demonstrate application of area, surface, and volume. They apply formulas to a model of the classroom so they can determine the volume and surface area of the classroom.
Curated OER
The Luxor Hotel Contract
High schoolers determine the surface area of the Luxor Hotel, using the square feet of the base, volume, and the volume formula. They create a scale model of the triangular/pyramid shaped hotel.
Discovery Education
Discovering Math: Exploring Geometry
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Illustrative Mathematics
Christo’s Building
Hook your charges on how to solve a real-world art problem with mathematics by showing works of Christo. You can find eye-catching images on the Christo and Jeanne Claude webpage. Here, math learners help Jean Claude and Christo prepare...
Illustrative Mathematics
Painting a Barn
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
Radford University
Sand Castle
Don't let the task slip through your fingers like sand. Scholars design sand castles using hemispheres, pyramids, cones, and cylinders of different sizes. They calculate the volume and surface area and consider how changing the...
Curated OER
Tools for Integrating Math and Engineering: Weighin' In
Young scholars collect and analyze data on a fictional cereal company's products. In this measurement lesson, students collect data from cereal boxes (weight, volume, surface area, etc.) to determine if the boxes labels correctly inform...
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...
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
Measurement: Cylinders
Math scholars observe and demonstrate how to calculate the surface area and volume of cylinders. They analyze pictures of various cylinders on a handout, solve problems on two worksheets independently, and discuss the answers to the...
Mathed Up!
Spheres and Cones
Class members learn how to apply formulas for spheres and cones with a video that begins with a review of the formulas for surface area and volume of spheres and cones. Pupils use these formulas to solve problems on a worksheet.
Curated OER
Find the Surface Area of Solids
In this online math worksheet, students calculate the surface area of a variety of solid figures. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
Curated OER
Cylinders and Cones Multiple Choice
In this cylinder worksheet, students answer ten multiple choice questions covering lateral area, volume, and surface area. The solutions are available by clicking on the "grade and submit" button found on the bottom left of the page.
Curated OER
Surface Area with Polydrons
Students explore measurements by analyzing geometric shapes. In this surface area activity, students identify the terms volume, weight, perimeter and area in order to find the requested measurements of specific polygons. Students utilize...
Math Mammoth
Volume Problems
In this volume problem instructional activity, students determine the volume of various objects. They compare similar objects and determine the percent of increase and decrease of the surface area and volume. This one-page instructional...
Curated OER
Volume
In this volume worksheet, students determine the number of cuboids needed to create a rectangular prism of a particular size. They determine the mass, volume and density of cereal boxes. Students determine the volume of rectangular...
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.