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M.S. Problems
Middle School
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Middle School: Volume
In grades 68, students explore the relations among similar objects,
solving problems that link length, perimeter, area, and volume.
To do so, students learn to calculate the volume of a variety
of objects.
Problems that allow middleschool students to practice finding the
volume of threedimensional objects are listed below. They address the
NCTM Geometry
Standard for Grades 68 expectation that students will be able to
analyze characteristics and properties of two and threedimensional
geometric shapes and develop mathematical arguments about geometric
relationships.
For background information elsewhere on our site, explore the Middle
School Geometry area
of the Ask Dr. Math archives. For relevant sites on the Web, browse
and search HigherDimensional
Geometry in our Internet Mathematics Library; to find middleschool
sites, go to the bottom of the page, set the searcher for middle school
(68), and press the Search button.
Access to these problems requires a Membership.

Accuracy Please
 Judy Ann Brown

PreAlgebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone.
... more>>

Cubic Changes
 Lisa Lavelle

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

Elementary, difficulty level 3. How much "flood" water did Mr. Basden clean up with his shop vac?
... more>>

How Big?
 Judy Ann Brown

Middle School, difficulty level 1. The dimensions of my classroom are consecutive multiples of ten. Find the dimensions of the room.
... more>>

Milk Madness
 Suzanne Alejandre

PreAlgebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
... more>>

New Home for Fibonacci and Fractal
 Judy Ann Brown

PreAlgebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15gallon aquarium.
... more>>

Penny Space
 Lisa Lavelle

Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Pi Day  Let's Eat Cake!
 Judy Ann Brown

PreAlgebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
... more>>

Pi Day Treats
 Judy Ann Brown

PreAlgebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
... more>>

Threedimensional Television
 Mr. Marthinsen's Geometry Class

PreAlgebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
... more>>

Valley Springs Snow Cream
 Kelly Crisp

PreAlgebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
... more>>

Volume Experiment
 Judy Ann Brown

Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
... more>>
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