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
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...
EngageNY
The Volume Formula of a Pyramid and Cone
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...
EngageNY
Volume of a Sphere
To understand an informal derivation of the formula to find the volume of a sphere, young mathematicians investigate the volume of a sphere about the volume of a right circular cylinder. They develop the formula for the volume of a...
EngageNY
The Volume of a Right Prism II
Discover the difference between the capacity of a container and its volume. The 25th part of a 28-part series presents problems that require pupils to determine the amount of liquid a prism can hold. Learners must take into account the...
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 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.
Curated OER
Turn Up the Volume
Measuring volume can be a mystery for 5th graders, but this hands-on activity gives the gift of discovery. The volume of simple rectangular solids and irregular shapes are calculated through various methods including displacing liquid in...
Illustrative Mathematics
Computing Volume Progression 4
This resource was written for the younger math learner, but finding the volume of an irregular solid is also a problem for algebra and geometry students. Based on Archimedes’ Principle, one can calculate the volume of a stone by...
University of Houston
Volume for Rectangular Prisms
Upper graders define perimeter and area of a rectangle, estimate numbers of cubes and determine the maximum amount that will fit in a given space. In this math lesson, pupils complete related worksheet, build prisms and find volume and...
Virginia Department of Education
Exploring 3-D Geometry
Take young mathematicians on an exploration of the world of 3-D geometry with this seven-lesson unit. After first defining the terms perimeter, area, and volume and how they apply to the real world, students continue on...
EngageNY
Scaling Principle for Volumes
Review the principles of scaling areas and draws a comparison to scaling volumes with a third dimensional measurement. The exercises continue with what happens to the volume if the dimensions are not multiplied by the same...
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...
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...
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...
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.
Pace University
Volume and Capacity
Differentiated instruction through leveled learning contracts boosts scholars' knowledge of volume and capacity. Participants split into three groups based on ability and interest before choosing three activities from their learning...
Radford University
Surface Area and Volume of 3-D Objects
Don't let the class tank the project. After reviewing formulas for surface area and volume, pupils design fish tanks that maximize volume. They research cost of materials online and must meet a budgetary constraint when creating their...
Radford University
Surface Area and Volume
Who knew there were pyramids in China? Learners apply surface area and volume formulas to several different real-world situations. They calculate the volume and surface area of an aquarium, an ice cream cone, and Egyptian and Chinese...
Radford University
Lemonade Business - Investigating Surface Area and Volume of Containers
Boost lemonade sales by using the perfect container. For a given volume, future entrepreneurs design a container that will have the least surface area and by extension, the least cost of material. They create a two-dimensional net of...
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...
Illustrative Mathematics
Computing Volume Progression 2
Once your geometers know how to apply the formula V = l w h, they will be ready to take on the fractional volume of a fish tank. Have your number crunchers swap heights so they can see that the fractional volume will not change.
Do2Learn
Tone of Voice and Volume Control
What level of voice is most appropriate for the classroom? Develop volume control in your learners with ASD with an activity that lets them know when they are using appropriate and inappropriate voice level.
Curated OER
Volume
Third graders complete scientific investigation to determine what volume is and how it is determined by size not by mass. They discuss what they know about volume before proceeding with the demonstration and experimentation. After the...
Other popular searches
- Volume Measurement
- Measuring Volume
- Surface Area and Volume
- Volume and Capacity
- Mass, Volume, Density
- Volume Measurement Worksheet
- Area and Volume
- Volume of Prisms
- Volume of Rectangular Prism
- Volume Liquid Measurement
- Volume of Solid Figures
- Calculating Volume