Problem 1
A moving company uses boxes that are 18 inches × 12 inches × 10 inches. How many cubic feet of space does each box provide? (1728 cubic inches = 1 cubic foot)
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Problem 2
Design an experiment to measure the volume of an irregular object using unit cubes or water displacement.
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Problem 3
A warehouse has shelving units that are 8 feet × 4 feet × 6 feet. If the warehouse has 25 such units, what is the total storage volume?
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Problem 4
Compare the efficiency of different box sizes for shipping. Which uses space better: 10×8×6 inches or 12×10×4 inches?
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Problem 5
Create a real-world scenario where you need to calculate volume to determine how much material is needed.
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Problem 6
A concrete mixer truck can hold 10 cubic yards of concrete. How many cubic feet is this? (1 cubic yard = 27 cubic feet)
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Problem 7
Design a problem where you need to convert between different cubic units (inches to feet, centimeters to meters, etc.).
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Problem 8
If you have 1000 cubic centimeters of clay, what are three different rectangular prisms you could make?
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Problem 9
Analyze the relationship between the dimensions of a container and its volume. How does changing one dimension affect the total volume?
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Problem 10
Create a multi-step problem involving volume that requires both calculation and practical decision-making.
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