Radford University
Fun with Solids
Cakes offer a yummy way to learn about math. Scholars use manipulatives to discover the formulas for the surface area and volume of prisms and cylinders. They use their formulas to calculate the amount of cake mix and frosting necessary...
CK-12 Foundation
Absolute Extrema and Optimization: Building the Biggest Box
Optimally, you want the largest box. Given a square piece of box material, pupils determine the size of congruent squares to cut out of the corners to create a box with the greatest volume. Learners determine the equation of the volume...
Radford University
Fun with Solids
Geometry is all around us—if we're only willing to look. The final three activities of the Fun with Solids unit continue work on surface area and volume. For lesson three, scholars investigate the formulas for spheres and solve a problem...
Radford University
How Do I Design a Raised Bed Garden to Accommodate My Plants?
Give plants the best place to grow. Given constraints on plant spacing, pupils design a raised bed garden using graph paper, then calculate the perimeter, surface area, and volume. They use the provided costs of lumber and soil to...
Curated OER
Determining Maximum Volume of an Open Box
In this geometry worksheet, 10th graders calculate the maximum volume of a box constructed from a sheet of paper. The one page worksheet contains one problem with step-by-step calculator directions. Solution is not provided.
Curated OER
Surface Areas of Prisms, Pyramids and Cylinders
Young scholars identify and use appropriate formulas to find surface areas of solid figures, practice using formula sheet to solve textbook problems, construct solid figures of given surface area using TABS+ software program, and use...
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...
101 Questions
Coffee Traveler
Investigate the volume of irregular figures in an inquiry-based exercise. Presented with an irregularly shaped box filled with water, learners must predict the level of water when it is tipped on its side. The class can divide the figure...
Curated OER
Measurement
In this measurement worksheet, 7th graders solve 14 various types of problems that include completing a table with the base, height, and/or area of triangles and solving a number of word problems with measurement. They also estimate the...
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...
PBS
Accessible Shapes
All the 2-D and 3-D measurement work you need is in one location. Divided into three sections, the geometry lesson plans consist of visualization of three dimensions, classifying geometric figures, and finding surface area and volume....
Curated OER
Dissecting the Cube
Students investigate the volume of cones. In this geometry lesson, students define the formula to find the volume of cones. They define the concept of having to dissect a three dimensional figure and find the volume.
Illustrative Mathematics
Cari's Aquarium
The volume of a fish tank is a rather important measure when it comes to building an aquarium for different species of fish. In this problem, your kids look at how many different ways they can make a fish tank of a specific volume, then...
Curated OER
Box It Up
Fifth graders make boxes. In this prisms lesson, 5th graders read the book Counting on Frank and discuss the different things that the boy measures. Students make boxes of various sizes using graph paper and find their volume.
Curated OER
The Geometry of Solids
In this solids worksheet, students compute the volume of prisms, cylinders, pyramids, spheres and cones. This seven-page worksheet contains approximately 68 problems.
Curated OER
Family Activity: Gift Wrapping - Surface Area
In this surface area worksheet, students solve 6 short answer problems. Students determine the amount of gift wrap paper needed to cover a rectangular box using surface area formulas.
Curated OER
Density
Students find the mass, volume, and density of various objects. In this density measurement lesson, students observe how same-sized objects can have different masses, then use water displacement to find the density of each object and...
Curated OER
The Candy Conundrum
Students design a candy container that contains a specific amount of candy. They demonstrate how an engineering problem can be solved with math and that there are multiple answers to the problem. They compute volume of spheres.
Curated OER
Taking Measurements at Home
In this measurements worksheet, students find their weight, height, width and depth of their bodies at home using equipment around their homes. They use the proper number of significant figures to record their answers and they find the...
Curated OER
Seven Volume of a Prism Problems
In this volume of a prism worksheet, pupils calculate the volumes and missing lengths of seven prisms. The solutions are provided.
Curated OER
Surface Area of Prisms
Students calculate the surface area of different prisms. In this geometry lesson plan, students identify the shapes of solids based on the properties of that solid. They calculate the surface area using nets and properties of prisms.
CCSS Math Activities
Building Blocks
Math is a lot like building blocks—it requires a solid foundation. A short performance task has pupils consider the volume of a cubic block. It then asks mathematicians to find the surface area and volume of a prism made from stacking...
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.
Mathematics Vision Project
Module 5: Modeling with Geometry
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...