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Elementary: Volume

The Elementary Problem of the Week offers several problems in which a knowledge of geometry is important in finding the volume of a three-dimensional shape. These problems, listed below, address the NCTM Geometry Standard for Grades 3-5 expectation that students will be able to analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships.

For background information elsewhere on our site, explore the Elementary Geometry area of the Ask Dr. Math archives. To find relevant sites on the Web, browse and search Higher-Dimensional Geometry in our Internet Mathematics Library; to find elementary sites, go to the bottom of the page, set the searcher for late elementary level (3-5), and press the Search button.

Access to these problems requires a Membership.

Cubic Changes - Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Determine how the volume and surface area of a cube change when the edge length is changed. ... more>>

The Great Flood - Jon Basden
active problem Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac? ... more>>

Penny Space - Lisa Lavelle
active problem Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies. ... more>>

Saline Solutions - Lisa Lavelle
active problem Elementary, difficulty level 3. Measure the ingredients needed to mix the saline solutions. ... more>>

Something Fishy - Basden's 8th Hour MathDogs
active problem Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi for the schoolyard garden pond. ... more>>

Splish Splash - Lisa Lavelle
active problem Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume. ... more>>

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