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Pre-Algebra
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Pre-Algebra
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Volume/Capacity
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The problems in this section explore the numerical and/or physical properties of volume or capacity.
- Related Resources
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Interactive resources from our Math Tools project:

Math 7: Measurement: Volume/Capacity
The closest match in our Ask Dr. Math archives:

Middle School: Measurement
NCTM Standards:

Measurement Standard for Grades 6-8
Access to these problems requires a Membership.
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Accuracy Please
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Considering precision, accuracy, and appropriateness in finding the volume of a cone.
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Buying Cola
- Leon Roland & class
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Pre-Algebra, difficulty level 3. Where should Chuck shop to get the most cola? Is this the best buy?
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Chocolate, Orange, Mega-mint Swirl
- Fitzgerald's Spring 2000 Class C
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Pre-Algebra, difficulty level 4. How many half-gallon cartons of ice cream can fit in the freezer?
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Garden Grove
- Steve Risberg & Stephen Weimar
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Pre-Algebra, difficulty level 3. Determine the amount of dirt and the amount of peat moss needed to have the correct ratio of dirt to peat moss for the garden.
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Geo in Jeopardy
- Richard Tchen
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Pre-Algebra, difficulty level 3. Find the dimensions of the three-dimensional phone booth.
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The Good Samaritan
- Piedmont High School 2nd- and 7th-period Geometry Classes
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Pre-Algebra, difficulty level 4. Can the butler afford the paint needed to repair the sign? Did the butler do it?
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Luscious Lemonade
- Judy Ann Brown
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Math Fundamentals, difficulty level 3. The label on the lemon concentrate says that I need to mix 2 cups of concentrate with 3 cups of water. How much lemon concentrate should I buy to make 25 gallons of lemonade?
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Milk Madness
- Suzanne Alejandre
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Pre-Algebra, difficulty level 4. Help Georgina find out how much milk is left using the number pattern she describes.
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New Home for Fibonacci and Fractal
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Determine how long it will take Jimal and Leslie to fill the new 15-gallon aquarium.
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Pi Day - Let's Eat Cake!
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. In honor of Pi Day we will be comparing the volumes of slices taken from round and rectangular cakes.
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Pi Day Treats
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Help Mrs. Granville and Mrs. Germain plan a Pi Day celebration.
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Pouring the Punch
- Neil Bress
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Pre-Algebra, difficulty level 3. The Refreshments Committee needs to pour exactly four liters of eggnog using only three-liter and five-liter measures.
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Price Fluidity
- Judy Ann Brown
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Pre-Algebra, difficulty level 2. Compare the per-gallon cost of eleven different liquids, and put them in order from least to most expensive.
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Sailing Around the World
- Leon Roland & class
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Pre-Algebra, difficulty level 2. Determine the amounts of the supplies that Giuseppi Linguini will need to sail around the world.
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Stacking Wood
- Annie Fetter
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Pre-Algebra, difficulty level 2. Find how many cords of wood the woodshed will hold.
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Three-dimensional Television
- Mr. Marthinsen's Geometry Class
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Pre-Algebra, difficulty level 3. Help my friend find which TV will fit snugly into her TV nook.
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Valley Springs Snow Cream
- Kelly Crisp
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Pre-Algebra, difficulty level 3. Compare the volume of a sphere, cone, and cylinder using ice cream.
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Volume Experiment
- Judy Ann Brown
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Math Fundamentals, difficulty level 2. Make a prediction, conduct an experiment, and report your findings.
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Wilda's Swamp Water
- Judy Ann Brown
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Pre-Algebra, difficulty level 3. Measure 8 quibits of swamp water using only 6-quibit and 10-quibit containers.
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