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TeachEngineering
Teach Engineering: 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...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation I
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.
Oswego City School District
Regents Exam Prep Center: Cylinders
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.
Oswego City School District
Regents Exam Prep Center: Pyramids
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.
Sophia Learning
Sophia: Determining Unknown Values Using the Volume of a Cylinder
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]
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Area of a Pentagonal Pyramid
This question and answer site reviews finding both the area and volume of a pentagonal pyramid.
National Council of Teachers of Mathematics
The Math Forum: Nctm: Lesson Plan: Area and Volume
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
Math Open Reference
Math Open Reference: Volume of a Triangular Prism
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...
Sophia Learning
Sophia: Finding a Formula for the Volume of a Cylinder
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.
Math Open Reference
Math Open Reference: Volume of a Triangular Prism
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.
Illustrative Mathematics
Illustrative Mathematics: G Mg Archimedes and the King's Crown
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...
Alabama Learning Exchange
Alex: Popcorn Bucket or Box?
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...
Oswego City School District
Regents Exam Prep Center: Cones
What is a cone? Find a definition, example images, and formulas for determining volume and surface area.
Oswego City School District
Regents Exam Prep Center: Prisms
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.
Calculator Soup
Calculator Soup: Square Pyramid Calculator
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.
Math Open Reference
Math Open Reference: Cylinder
Learn how to find the volume and surface area of a cylinder by trying interactive examples. Includes definitions and links to related topics.
ClassFlow
Class Flow: Dimensions
[Free Registration/Login Required] Students learn what surface area is on geometric figures, and find volume, lengths, and areas of figures.
Shodor Education Foundation
Shodor Interactivate: Function Revolution
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.
National Council of Teachers of Mathematics
The Math Forum: Building a Pyramid
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.
Illustrative Mathematics
Illustrative Mathematics: G Mg a Ton of Snow
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.
Calculator Soup
Calculator Soup: Triangular Prism Calculator
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.
Maths Challenge
Maths challenge.net: Perfect Cone
Using knowledge of surface area of a cylinder formulas and volume of a cone, find the height of a cone / cylinder.
Wolfram Research
Wolfram Math World: Cube
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.]
University of Cambridge
University of Cambridge: Nrich: New House
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.