Analyze Math
Analyze Math: Cone Problems
The geometry tutorial explores problems related to the surface area and volume of a cone. The activity has several examples with detailed solutions.
Analyze Math
Analyze Math: Compare Volumes of 3 D Shapes
The tutorial investigates the volumes of a cone, a cylinder, and a hemisphere. The problem includes a detailed solution.
Oswego City School District
Regents Exam Prep Center: Spheres
What is a sphere? Find a definition, example images, and formulas to help you determine volume and surface area given the radius.
McGraw Hill
Glencoe Mathematics: Online Study Tools: Volume of Prisms and Cylinders
This site gives a short interactive quiz which allows students to self-assess their understanding of the concept of finding the volume of prisms and cylinders.
Purple Math
Purplemath: Geometric Formula Review
Need to freshen up on your geometric formulas? This explanation focuses on some basic formulas that should be committed to memory such as area, volume, perimeter, and more.
Khan Academy
Khan Academy: Density Word Problems
Solve problems concerning real-world situations using your knowledge of volume, surface area, and density. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Illustrative Mathematics
Illustrative Mathematics: G Gmd Volume Estimation
In this task, students are asked to estimate the volume of a non-standard 3D solid by referencing either a cone or a cylinder. Aligns with G-GMD and G-GMD.A.3.
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 young scholars to find the amount of water displaced in Archimedes'...
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.
Illustrative Mathematics
Illustrative Mathematics: G Mg Indiana Jones and the Golden Statue
The goal of this task is to provide an introduction to the sometimes subtle use of density and units related to density, in a simple and fun context with minimal geometric complexity. Includes video showing the opening scene of Raiders...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation Ii
In this task, learners are given an aluminum soda can and are simply asked how they could determine how thick the can is. Aligns with G-MG.A.1 and G-MG.A.2.
Illustrative Mathematics
Illustrative Mathematics: G Mg How Thick Is a Soda Can? Variation I
For 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.
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Leaves on a Tree? (Version 2)
For this task, students must estimate the number of leaves on a large tree, taking into account various complex factors such as the area shaded by the tree, the area of irregularly shaped leaves, the uneven distribution of leaves, the...
Illustrative Mathematics
Illustrative Mathematics: G Mg How Many Leaves on a Tree?
This is a mathematical modeling task aimed at making a reasonable estimate for something which is too large to count accurately, the number of leaves on a tree, taking into account the tree size and the density of the leaves. Aligns with...
Other
Mathway: Geometric Formulas
Resource provides geometric formulas for area, perimeter, surface area, and volume.
CK-12 Foundation
Ck 12: Geometry: Surface Area and Volume of Cones
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to calculate the surface area and volume of a cone.
Rice University
Rice University: Cynthia Lanius: Volume Functions
This site challeges students to find the rectangular dimensions that would produce the cylinder with the greatest volume. The page provides formulas. Students can choose from the following methods to solve: Tabular, Graphical, and calculus.
CK-12 Foundation
Ck 12: Geometry: Surface Area and Volume Study Guide
[Free Registration/Login may be required to access all resource tools.] This study guide looks at the definitions and postulates of surface area and volume for different solids, including composite solids and similar solids.
CK-12 Foundation
Ck 12: Geometry: Surface Area and Volume of Prisms
[Free Registration/Login may be required to access all resource tools.] This concept teaches students how to calculate the surface area and volume of prisms.
CPALMS
Cpalms: Mudslide
[Free Registration/Login Required] This is a formative assessment task where students are asked to first make a mathematical model of a mudslide given the dimensions of the area it covers. They then use an estimate of density to...
CPALMS
Cpalms: Population of Utah
[Free Registration/Login Required] This is a formative assessment task where students are asked to estimate the population of Utah based on information given about its population density and the perimeter of its state boundaries. Samples...
CPALMS
Cpalms: How Many Trees?
[Free Registration/Login Required] In this formative assessment task, students are asked to find the density and the estimated number of trees in a forest, given certain parameters. Samples of student responses and possible...
Alabama Learning Exchange
Alex: Float or Sink?
Students will define density and use the density formula to determine the density, volume, and mass of various items using the correct units for each measurement.
Thinkport Education
Math by Design: Volume of a Cylinder [Pdf]
A lesson plan helping students understand how to determine the volume of a cylinder.