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...
Curated OER
Volume of Cylinders
Middle and high schoolers calculate the volume of cylinders. In this geometry instructional activity, learners differentiate between rectangular prisms and cylinders. They use the correct formula to solve for each solid.
EngageNY
General Prisms and Cylinders and Their Cross-Sections
So a cylinder does not have to look like a can? By expanding upon the precise definition of a rectangular prism, the lesson develops the definition of a general cylinder. Scholars continue on to develop a graphical organizer...
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
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 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
Volume
In this finding volume practice instructional activity, learners sharpen their problem solving skills as they solve six story problems.
Shodor Education Foundation
Surface Area of Rectangular Prism
With this interactive lesson, learners compute the surface area of rectangular prisms. They visit an online investigation applet and record data on the provided handout. Pair this lesson with the volume lesson by the same publisher as an...
Curated OER
Volume of a Rectangular Prism
Children use the length, width, and height of an object to calculate the volume of a rectangular prism. They observe how to multiply three numbers at a time, and define volume. Pupils observe as the teacher demonstrates how to determine...
Curated OER
New Boxes From Old
Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box...
Virginia Department of Education
Out of the Box
There's no need to think outside the box for this one! Scholars measure the length, width, and height of various boxes. Results help develop the formulas for the surface area and volume of rectangular prisms.
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.
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
Problem Solving - Use a Formula 21.7
In this formula worksheet, students complete a graphic organizer, answering the questions relating to: understand, plan, solve, look back. Students solve 2 problems. Houghton Mifflin test is referenced.
Curated OER
Perimeter, Area, Volume and Surface Area
In this perimeter of shapes learning exercise, 10th graders find the perimeter of the shapes illustrated. Then, they find the volume of each shape shown. Students also match the shape with its correct name on the left and find the...
Curated OER
Geometry Practice: Volume
In this volume worksheet, high schoolers find the volume of 6 solids. Students find the volume of rectangular and triangular prisms.
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...
Virginia Department of Education
Surface Area and Volume of a Cylinder
Surface area or volume? Pupils first review the difference between surface area and volume. They then use a two-dimensional net that helps them develop formulas for the surface area and volume of cylinders.
Curated OER
Volumes of Solids
In this volume worksheet, students observe diagrams and extrapolate the correct items to plug into a formula for volume. They find the volume of triangular prisms, cylinders, cones, rectangular prisms, and rectangular pyramids. Four of...
Curated OER
Volume of Prisms-Homework #1
In this volume of prisms worksheet, young scholars compute the volume of nine shapes. Answers are given on the page, students are directed to show formulas and computations. The worksheet contains two each of rectangular prisms,...
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
Real-World Volume Problems
How long does it take to fill a typical swimming pool? Prepare your pupils to answer similar questions using the 28th lesson in the 29-part module. The engaging lesson asks individuals to solve problems connected to the flow rate. All...