Volume of 3D Shapes

Front

What is volume?

Back

Volume is the amount of space that a 3D shape occupies, measured in cubic units.

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CCSS.5.MD.C.3A

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Front

What is the formula for the volume of a cylinder?

Back

Volume = π × radius² × height.

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CCSS.8.G.C.9

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Front

What is the formula for the volume of a rectangular prism?

Back

Volume = length × width × height.

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CCSS.7.G.B.6

Front

What is the formula for the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

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CCSS.8.G.C.9

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What is the formula for the volume of a pyramid?

Back

Volume = (1/3) × base area × height.

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CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Common units include cubic inches (in³), cubic centimeters (cm³), and cubic meters (m³).

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CCSS.3.MD.A.2

Front

How do you find the volume of a cube?

Back

Volume = side length × side length × side length.

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CCSS.8.EE.A.2

Front

What does 'multiply by pi' mean in volume calculations?

Back

It means to use the value of π (approximately 3.14) in the formula to calculate the volume.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If the height of a cylinder is doubled, what happens to its volume?

Back

The volume also doubles.

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CCSS.8.G.C.9

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Front

What is the volume of a cube with a side length of 3 inches?

Back

Volume = 3 in × 3 in × 3 in = 27 in³.

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