Problem 1
A company manufactures boxes in two sizes: 12×8×6 inches and 10×10×7 inches. Which box has more volume and by how much?
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Problem 2
Design a rectangular container that has a volume of 360 cubic inches. Give three different possible sets of dimensions.
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Problem 3
A basement is 24 feet long, 18 feet wide, and 8 feet tall. If 1/4 of the space is taken up by utilities, how much usable volume remains?
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Problem 4
Create a real-world problem involving volume where you need to determine the most efficient use of space.
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Problem 5
A rectangular prism has a volume of 840 cubic centimeters. If you double the length and halve the width, keeping the height the same, what is the new volume?
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Problem 6
Compare the volumes of these containers: a cube with 6-inch sides versus a rectangular prism that is 8×5×4 inches. Which holds more?
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Problem 7
A fish tank manufacturer wants to create a tank with a volume of 1,200 cubic inches. If the tank must be 15 inches long and 8 inches wide, how tall should it be?
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Problem 8
Analyze this problem: A room needs 2,000 cubic feet of air conditioning. If the room is 25 feet long and 10 feet wide, what should the minimum ceiling height be?
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Problem 9
Create a multi-step problem that involves calculating the volumes of multiple objects and then combining or comparing them.
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Problem 10
Design a word problem where understanding volume formulas is essential for making a cost-effective decision.
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