5.MD.3: Understanding Volume

I can recognize volume as an attribute of solid figures and understand concepts of volume measurement.

Problem 1

What is volume? 💡 Hint: Volume is the amount of space inside a 3D shape, like how much water a container can hold.
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Problem 2

Which unit would you use to measure the volume of a juice box: inches, square inches, or cubic inches? 💡 Hint: Volume is measured in cubic units.
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Problem 3

A cube has sides of 2 units. How many unit cubes fit inside it? 💡 Hint: 2 × 2 × 2 = 8 unit cubes.
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Problem 4

What does "cubic centimeter" measure? 💡 Hint: It measures volume - the space inside something.
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Problem 5

If a box is 3 units long, 2 units wide, and 1 unit tall, what is its volume? 💡 Hint: Multiply length × width × height = 3 × 2 × 1 = 6 cubic units.
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Problem 6

Which has more volume: a shoebox or a pencil case? 💡 Hint: Think about which can hold more stuff inside.
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Problem 7

A rectangular prism is 4 units by 3 units by 2 units. How many unit cubes does it contain? 💡 Hint: 4 × 3 × 2 = 24 unit cubes.
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Problem 8

What is the difference between area and volume? 💡 Hint: Area is flat (2D), volume is space inside (3D).
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Problem 9

If you stack 5 layers of unit cubes, and each layer has 6 cubes, what's the total volume? 💡 Hint: 5 × 6 = 30 cubic units.
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Problem 10

A cube has a volume of 27 cubic units. What is the length of each side? 💡 Hint: What number times itself three times equals 27? 3 × 3 × 3 = 27.
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