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measurement/units
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Math Fundamentals
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Math Fundamentals
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Volume & Capacity
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These problems include a focus on the three-dimensional concepts of volume and capacity and the idea of cubic units.
- Related Resources
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Interactive resources from our Math Tools project:

Math 4: Measurement
The closest match in our Ask Dr. Math archives:

Elementary Measurement
NCTM Standards:

Measurement Standard for Grades 3-5
Access to these problems requires a Membership.
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Campers' Cider
- Elizabeth Gardner (Western Oregon University) & Math Forum Staff
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Math Fundamentals, difficulty level 2. How much cider did the campers press for the evening festivities?
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Can You Drink That Swimming Pool?
- Kristina Lasher
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Math Fundamentals, difficulty level 3. Estimating the amount of water in a pool. About how long would it take
to drink that much water?
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Cubic Changes
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine how the volume and surface area of a cube change when the edge length is changed.
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Filling the Freezer
- Kristina Lasher
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Math Fundamentals, difficulty level 4. How many cartons of ice cream can the Math Club fit in their freezer?
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Hauling Sand
- Claire Mead
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Math Fundamentals, difficulty level 2. How many tons of sand can Marty haul in his dump truck?
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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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Penny Space
- Lisa Lavelle
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Math Fundamentals, difficulty level 4. Determine the space needed to store a million pennies.
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Pizza Dough
- Claire Mead
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Math Fundamentals, difficulty level 2. How much water does Mario need to use to make enough pizza dough for
him and his
friends?
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Something Fishy
- Basden's 8th Hour MathDogs and Claire Mead
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Math Fundamentals, difficulty level 3. Find the maximum number of goldfish and koi to go in the fish pond.
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Splish Splash
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine the ratio of my volume to T.J.'s volume.
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Super Deal Salsa
- Lisa Lavelle
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Math Fundamentals, difficulty level 2. Determine how much money was saved by buying salsa in bulk.
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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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Water Fun?
- Lisa Lavelle
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Math Fundamentals, difficulty level 3. Determine how long it would take for a 30-gallon water heater to empty.
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