Curated OER
Volume of Solids
In this volume of solids activity, tenth graders solve and complete 20 various types of problems. First, they write the formula needed to find the volume of each solid. Then, pupils use the Pythagorean theorem to find the measure of the...
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
Flower Vases
Which vase holds more water: a cylinder, sphere, or cone? Figure out which should be used for your sister's birthday bouquet with this practical word problem.
EngageNY
Volume and Cavalieri’s Principle
Take a slice out of life. The ninth section in a series of 23 introduces classmates to Cavalieri's principle using cross sections of a cone and stacks of coins. Class members participate in a discussion using pyramids and how Cavalieri's...
CPM
Cones and Spheres
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
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
Surface Area and Volume
In this comprehensive activity, young geometers solve a number of surface area and volume problems. Problems range from basic formula-based calculations to more challenging geometric figures and word problems.
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...
Illustrative Mathematics
Use Cavalieri’s Principle to Compare Aquarium Volumes
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required. From calculating the volume of a composite shape through the abstract...
Charleston School District
Volume of Rounded Objects
How much can different shapes hold? The answer varies depending on the shape and dimensions. Individuals learn the formulas for the volume of a sphere, cone, and cylinder. They apply the formulas to find the volume of these...
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...
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
Learning About Volume
Learners explore the concept of volume. They develop formulas for volume of prisms. Then use their formulas to find missing dimensions of various prisms such as height, length, width, radius, and diameter.
Curated OER
Volume Worksheet I
In this volume worksheet, students recognize three-dimensional figures, identify the proper volume formula, and then solve the equation by inserting information from a diagram into the formula. Students solve six equations.
University of Utah
Integer Exponents, Scientific Notation and Volume
A one-stop resource for exponents, square and cube roots, scientific notation, and volume formulas guides learners through properties of exponents. As they learn to apply these properties to operations with scientific notation,...
Charleston School District
Volume of Composite Shapes
It's the parts that make the whole. Learners apply volume formulas to composite figures to find the total volume of the figure. Previous lessons in this series taught the methods for finding the volume and/or dimensions of...
Curated OER
Volume of a Snow Cone
Learners find the volume of a snow cone. They divide the snow cone into known sections, and find the are of each part. Pupils must read the scale on the snow cone, prior to plugging into the formula for its volume.
Mathematics Assessment Project
Calculating Volumes of Compound Objects
After determining the volume of various drinking glasses , class members evaluate sample responses to the same task to identify errors in reasoning.
Curated OER
Area, Perimeter, Volume Formulas
In this formulas worksheet, students write the area, perimeter, and volume formulas of 17 2D and 3D polygons. Students list properties of various types of triangles and the metric conversions for metric units.
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
We All Scream for Ice Scream
High schoolers explore the formulas for volume of three-dimensional objects. They participate in various activities involving ice cream, ice cream cones, small candies, and gum balls, recording their calculations on a lab sheet.
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...
EngageNY
Volume of Composite Solids
Take finding volume of 3-D figures to the next level. In the 22nd lesson of the series, learners find the volume of composite solids. The lesson the asks them to deconstruct the composites into familiar figures and use volume formulas.
Balanced Assessment
Boring a Bead
How much material is in a bead? Class members utilize volume formulas to determine the amount of material in a bead. The goal of the assessment is to show that the amount of material left in a bead is the same for all beads with a given...