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...
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...
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...
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 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 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
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
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...
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
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 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,...
Curated OER
Areas and Volumes
Tenth graders calculate the area and the volumes of polygons. In this geometry lesson, 10th graders review the formulas used to solve for the area and volume and explain to the class how they arrived at their answer. They search online...
Curated OER
Volume Review
Students investigate the concepts of volume for rectangular prisms and spheres. They measure the volume of one balloon and then consider how many breaths it would take to fill the room with balloons. The rectangular prism being measured...
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
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...
EngageNY
Cones and Spheres
Explore methods for finding the volume of different three-dimensional figures. The 20th instructional activity in the 25-part series asks learners to interpret diagrams of 3-D figures and use formulas to determine volume. Scholars must...
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
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
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.
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...
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
Volume of Spheres
Students find the volume of spheres. In this geometry lesson, students measure and derive the formula for each shape and solid. They use the correct terminology and units when solving these problems.