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...
Education World
Investigating Volume
Explore the concept of volume using unit cubes. Working individually or in small groups, your class measures with a ruler in inches and calculates the volume of various rectangular household boxes (provided by the teacher) and completes...
Curated OER
Volume of Pyramids and Cones
High schoolers find the volume of pyramids and cones. In this volume of pyramids and cones lesson, learners explore the relationship between the volumes of prisms and pyramids. They investigate the relationship between pyramids and cones.
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...
EngageNY
Volume of Right Prisms
Apply volume and area formulas to find the volume of any right prism. The 26th lesson of a 29-part module examines methods for finding the volume of right prisms with varying shapes of bases. Learners use the formula V = Bh to find...
Illustrative Mathematics
Computing Volume Progression 1
Finding the volume of a right rectangular prism is the focus of the resource. Worksheet includes a drawing of a cube to help learners visualize the concept. Young geometers will learn that as the side length increases, so does the...
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.
EngageNY
Volume of Composite Three-Dimensional Objects
Most objects have irregular dimensions — you have to find them! Teach your class how to find the volume of composite objects that can be decomposed into prisms. Objects get increasingly more complex as the lesson progresses.
EngageNY
The Volume of a Right Prism
Does the volume formula work even if the measurements are not whole numbers? Class members work simple problems to find that the formula (area of the base) × (height) works for all prisms, independent of measurements and shape.
EngageNY
Volume and Surface Area
The 26th part of a 28-part series requires pupils to determine whether the answer to a problem requires surface area or volume. The class works problems about fish tanks that prompt individuals to decide, based on the question, which...
EngageNY
Volume and Surface Area II
Determine the cost of projects based on volume or surface area. Pupils work problems to determine the cost of building a brick planter and a stainless steel feeder in the 27th installment of a 28-part series. Participants must consider...
Curated OER
Volume of Prisms
Students calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
Curated OER
Regents Exam Questions G.G.12: Volume
In this volume worksheet, high schoolers 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.
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.
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
Volume of Solids: Algebra/Geometry Institute
Use this volume of solids lesson to have learners find the surface area and volume of cylinders, pyramids, and prisms. They place cubes inside three-dimensional figures to determine the volume. Worksheets and answers are provided.
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....
Curated OER
Volume of Prisms: Madley Brath $57
For this volume worksheet, students 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.
Virginia Department of Education
Volume of a Rectangular Prism
Fill the minds of your young mathematicians. A hands-on activity has learners fill in a rectangular prism with unit cubes to determine its volume. the exercise provides a great hands-on way for learners to connect the activity...
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
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.
Teach Engineering
Boxed In and Wrapped Up
If cubes have the smallest surface area, why aren't there more cube-shaped packages? Scholars take a box in the shape of a rectangular prism, cut it up, and make new boxes in the shape of cubes with the same volume. They then brainstorm...
Virginia Department of Education
Attributes of a Rectangular Prism
A change is coming. Pupils use unit cubes to investigate how changes in the length, width, and/or height affects volume and surface area. They extend the results to write and test predictions on the effect of changing multiple sides on...
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 plan of the module. They then use their formulas to calculate volume.