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.
EngageNY
Volumes of Familiar Solids – Cones and Cylinders
Investigate the volume of cones and cylinders. Scholars develop formulas for the volume of cones and cylinders in the 10th lesson of the module. They then use their formulas to calculate volume.
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...
Houston Area Calculus Teachers
Area and Volume
An AP calculus lesson begins with an activity to determine the volume of a solid using a cross-section. Next, learners review the ways to find the area between two curves , as well how to find the volume of a solid created from the...
Mathematics Assessment Project
Estimating Volume: The Money Munchers
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
Curated OER
Regents Exam Questions G.G.12: Volume
In this volume worksheet, students solve 12 short answer and multiple choice problems. Students find the dimensions of prisms given their volume in terms of quadratic and a linear expression.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Curated OER
Cylinder: Student Worksheet
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...
Curated OER
Volume Word Problems
In this volume worksheet, 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...
Curated OER
Volume and Surface Area
In this volume and surface area learning exercise, 10th graders solve and complete 10 different word problems that include measuring various solids and cylinders. First, they determine the surface area of a cube and the edge of it. Then,...
Math Mammoth
Area- Perimeter- Volume
In this geometry worksheet, learners use a grid to draw 3 different rectangles that have an area of 20 square units and determine the perimeter of each rectangle. They draw and answer questions related to the relationships and uses of...
Curated OER
Unit 22: Volume
In this volume worksheet, students determine the volume of cubes, prisms, and assorted shapes. This three-page worksheet is designed for mental computation. Answers are provided beside each question. This three-page worksheet contains...
Curated OER
Similarity of Length, Area, and Volume
In this similarity activity, learners determine the length, area and volume of similar figures. This three-page activity contains explanations, examples, and 20 problems. Answers are provided on page three.
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
Two for One Box Company: Student Worksheet
Fifth and sixth graders work alone or in pairs to determine the volume of paper boxes of various dimensions. Pupils write ratios of dimensions and volumes.
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.
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...
Government of Hong Kong
Areas and Volumes - 2D Shapes
Unfortunately for young mathematicians, the world isn't made entirely of parallelograms, triangles, and trapezoids. After first learning the area formulas for these common shapes, students apply this new knowledge to determine the area...
Curated OER
The Same, But Different Part II
Learners characterize a physical change as something that changes to a different size, but retains its basic substance. They measure volumes using milliliters, and perform an experiment that proves that gases expand when hot and contract...
Kentucky Educational Television
The Road to Proportional Reasoning
Just how big would it really be? Young mathematicians determine if different toys are proportional and if their scale is accurate. They solve problems relating scale along with volume and surface area using manipulatives. The last day of...
California Education Partners
Yum Yum Cereal
Design an efficient cereal box. Scholars use set volume criteria to design a cereal box by applying their knowledge of surface area to determine the cost to create the box. They then determine whether their designs will fit on shelves,...
Curated OER
Eight Volume of a Trench Problems with Explanations and Solutions
In this volume learning exercise, learners answer four multiple choice and four problems solving problems regarding the volume of a trench. Examples, formulas, explanations, and answers are provided.
Curated OER
Area and Volume
For this area and volume worksheet, 10th graders solve and complete 6 different types of problems. First, they find the numbers if the product of one of the numbers with the square of the other number is to be as large as possible. Then,...
Curated OER
Effect on Surface Area and Volume
Young scholars identify the effect the change of dimensions causes for the volume and surface area. In this geometry lesson, students compare perimeter, area and volume as they play around with the dimensions of the polygons. They...