Lesson Plan
Illustrative Mathematics

Radius of a Cylinder

For Teachers 8th - 12th Standards
Here is a multiple choice question that would make a good assessment question. Algebra students are to look at the structure of the formula for a given radius of a cylinder and find the resulting radius when the height of the...
Assessment
Mathed Up!

Volume and Surface Area of a Cylinder

For Students 7th - 10th Standards
The measurements are all in the can. The review for the math portion of the General Certificate of Secondary Education assessments provides scholars the opportunity to review finding volume and surface area of a cylinder. Pupils work on...
Lesson Plan
EngageNY

The Volume Formula of a Sphere

For Teachers 9th - 10th Standards
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...
Handout
Charleston School District

Volume of Rounded Objects

For Students 8th - 10th Standards
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...
Lesson Plan
EngageNY

The Volume of Prisms and Cylinders and Cavalieri’s Principle

For Teachers 9th - 10th Standards
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...
Lesson Plan
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EngageNY

Definition and Properties of Volume

For Teachers 9th - 10th Standards
Lead a discussion on the similarities between the properties of area and the properties of volume. Using upper and lower approximations, pupils arrive at the formula for the volume of a general cylinder. 
Handout
Charleston School District

Volume of Composite Shapes

For Students 8th - 10th Standards
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...
Instructional Video7:11
HeyMath!

Volume of Pyramid

For Teachers 6th - 11th Standards
Go beyond the basic formulas and uncover the surface area and volume of 3-D shapes with this comprehensive and organized worksheet packet. The problems include the basic formula computations while also challenging your learners to derive...
Lesson Plan
EngageNY

The Volume Formula of a Pyramid and Cone

For Teachers 9th - 10th Standards
Our teacher told us the formula had one-third, but why? Using manipulatives, classmates try to explain the volume formula for a pyramid. After constructing a cube with six congruent pyramids, pupils use scaling principles from...
Worksheet
Curated OER

Volume of Cylinders and Cones

For Students 7th - 8th
Line drawings of a circle, a cylinder, and a cone at the top of the page contain the formulae for area and volume of each shape. Learners complete the missing information in a chart that lists diameter, radius, height, and area and...
Assessment
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Balanced Assessment

Boring a Bead

For Students 11th - 12th Standards
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...
Activity
It's About Time

Mass and Volume

For Teachers 7th - 12th Standards
Don't be so dense that light bends around you; study the relationship between mass and volume instead. Young chemists measure the density of a variety of liquids and solids. A reading passage and analysis questions introduce pupils to...
Lesson Plan
Curated OER

Volume of Prisms: Madley Brath $57

For Teachers 7th - 8th
In this volume worksheet, young scholars examine given diagrams and then find the volume of a rectangular prism, a cylinder and a triangular prism. This one-page worksheet contains 3 problems. Answers are provided beside each problem.
Assessment
Concord Consortium

Full of Beans

For Students 7th - 12th Standards
Scholars have an opportunity to use their geometric modeling skills. Pupils determine a reasonable estimate of the number of string beans that would fill the average human body.
Worksheet
Curated OER

Displacement of Water

For Students 6th - 8th
To calculate the volume of a stopper by using the method of water displacement., students work with a web animation. They observe the method and then click a button to gather information about the calculations for the stopper dropped in...
Handout
Charleston School District

Solving for a Missing Dimension

For Students 8th - 10th Standards
If a can has a volume of twelve ounces, how tall it should be? If you can work with volume formulas, it's is an easy measurement to find. After finding the volume of figures in the previous lesson of the series, learners now...
Handout
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Centre for Innovation in Mamatics Teaching

Area, Perimeter and Volume

For Students 5th - 8th Standards
Develop young mathematicians' knowledge of two- and three-dimensional shapes with this geometry workbook. From learning about the classifications of different shapes and figures to calculating their area, perimeter, and volume, this...
Assessment
Mathematics Assessment Project

Funsize Cans

For Students 9th - 11th Standards
Designing fun-size cans ... what fun! Class members use the provided questions to determine the dimensions of a can with a minimum surface area for a given volume. The task allows learners to use graphs or algebraic manipulation to...
Lesson Plan
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Virginia Department of Education

Geometry and Volume

For Teachers 7th - 12th Standards
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. 
Interactive
Curated OER

Geometry Worksheets - Volume of Cylinders

For Students 9th - 12th
In this online math activity, students determine the volume of cylinders given their dimensions. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
Lesson Plan
Virginia Department of Education

Surface Area and Volume

For Teachers 9th - 11th Standards
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...
Worksheet
Curated OER

Volume of Cylinders: Problem Solving

For Students 4th - 6th
In this volume of cylinders worksheet, students solve 6 word problems related to the volume of various cylinders; students find volume, find height, solve reasoning problems and measure to given specifications.
Worksheet
Curated OER

Cylinder: Student Worksheet

For Students 3rd - 5th
Pairs of geometry whizzes work together to determine which of three differently shaped cylinders will have the greatest volume. Pupils cut out the three rectangles embedded in the plan, and tape them together to form a cylinder. From...
Worksheet
Curated OER

Volume Word Problems

For Students 10th
In this volume activity, 10th graders solve 10 different word problems that include determining the volume in each one. First, they determine the ratio of their radius given the cubic meters of a sphere. Then, students determine the...