Activity
TeachEngineering

Teach Engineering: New Boxes From Old

For Teachers 6th - 8th
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...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation I

For Teachers 9th - 10th Standards
In this task, students are given the dimensions of a soda can and are asked to estimate its thickness. They must first find the surface area and the volume of aluminum. Aligns with G-MG.A.1 and G-MG.A.2.
Study Guide
Oswego City School District

Regents Exam Prep Center: Cylinders

For Teachers 9th - 10th Standards
What is a cylinder? Find a definition, example images, and formulas for determining the volume and surface area of a cylinder if given the radius of the base and the height.
Handout
Oswego City School District

Regents Exam Prep Center: Pyramids

For Teachers 9th - 10th
What is a pyramid? Find a definition, example images, and formulas for finding the volume and surface area of a pyramid if given base and height measurements. Includes a very brief look at a pyramid in Egypt and its measurements.
Unit Plan
Sophia Learning

Sophia: Determining Unknown Values Using the Volume of a Cylinder

For Students 9th - 10th
This video lesson demonstrates how to work backward and use the volume of a cylinder to find an unknown value such as the radius or height. Students can check their understanding with an assessment. [4:41]
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Area of a Pentagonal Pyramid

For Students 9th - 10th
This question and answer site reviews finding both the area and volume of a pentagonal pyramid.
Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Nctm: Lesson Plan: Area and Volume

For Teachers 3rd - 5th
This lesson plan helps students understand the difference between area and volume. CCSS.Math.Content.3.MD.C.7.a Find the area of a rectangle with whole-number side lengths by tiling it
Handout
Math Open Reference

Math Open Reference: Volume of a Triangular Prism

For Students 6th - 8th Standards
Use this interactive tool to find the volume of a triangular prism. Try different figures for the height and the dimensions of the triangular face to see how these affect the volume. An accompanying chart also presents five methods for...
Unit Plan
Sophia Learning

Sophia: Finding a Formula for the Volume of a Cylinder

For Students 6th - 8th
Use prior knowledge of a rectangular prism to determine the formula of a cylinder. Check for understanding with the assessment at then end of lesson.
Handout
Math Open Reference

Math Open Reference: Volume of a Triangular Prism

For Students 9th - 10th Standards
A complete reference guide to finding the volume of a triangle prism. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg Archimedes and the King's Crown

For Teachers 9th - 10th Standards
The King of Syracuse reportedly requested Archimedes' advice for determining if a crown was made with the appropriate mixture of gold and silver. The problem asks students to find the amount of water displaced in Archimedes' experiment...
Lesson Plan
Alabama Learning Exchange

Alex: Popcorn Bucket or Box?

For Teachers 6th - 8th
In this exploration, students will apply their knowledge of finding volume and surface area of cylinders and rectangular prisms. Students will make recommendations to the local movie theater after determining which package is cost...
Study Guide
Oswego City School District

Regents Exam Prep Center: Cones

For Teachers 9th - 10th Standards
What is a cone? Find a definition, example images, and formulas for determining volume and surface area.
Study Guide
Oswego City School District

Regents Exam Prep Center: Prisms

For Teachers 9th - 10th Standards
What is a prism? Find a good definition and several example images, as well as formulas for finding the volume and surface area of a prism given measurements of its base and height.
Interactive
Calculator Soup

Calculator Soup: Square Pyramid Calculator

For Students 6th - 8th
Use this calculator to determine the volume, surface area, or other figure for a square pyramid, given the other numbers. Users set their parameters for two known variables of the pyramid and find what the unknown amounts would be.
Handout
Math Open Reference

Math Open Reference: Cylinder

For Students 6th - 8th
Learn how to find the volume and surface area of a cylinder by trying interactive examples. Includes definitions and links to related topics.
Whiteboard
ClassFlow

Class Flow: Dimensions

For Teachers 9th - 10th Standards
[Free Registration/Login Required] Students learn what surface area is on geometric figures, and find volume, lengths, and areas of figures.
Interactive
Shodor Education Foundation

Shodor Interactivate: Function Revolution

For Students 9th - 10th Standards
This activity allows the user to find the volume and surface area of various functions as they are rotated around axes. This applet can be used to practice finding integrals using the disk and washer methods of calculating volume.
Lesson Plan
National Council of Teachers of Mathematics

The Math Forum: Building a Pyramid

For Teachers 6th - 8th Standards
This Math Forum instructional activity gives instructions on how to build a paper pyramid. Bonuses included finding the surface area and volume of the pyramid.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G Mg a Ton of Snow

For Teachers 9th - 10th Standards
In this task, students are asked to find out how much snow has been shoveled using the concepts of area, depth, density, and rate. Aligns with HSG-MG.A.2.
Interactive
Calculator Soup

Calculator Soup: Triangular Prism Calculator

For Students 9th - 10th
This calculator finds the volume, surface area, and height of a triangular prism. Surface area calculations include top, bottom, lateral sides, and total surface area. Height is calculated from a known volume or lateral surface.
Activity
Maths Challenge

Maths challenge.net: Perfect Cone

For Students 9th - 10th Standards
Using knowledge of surface area of a cylinder formulas and volume of a cone, find the height of a cone / cylinder.
Unit Plan
Wolfram Research

Wolfram Math World: Cube

For Students 9th - 10th
Drawings and discussion on the properties of the cube, with lots of links to related pages. With this page you can find how to make a cube out of tetrahedron. [Requires Java.]
Activity
University of Cambridge

University of Cambridge: Nrich: New House

For Students 3rd - 8th
On this one page website sharpen your logic and spatial sense skills while working on this challenge. The solution is available to double check your solution.

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