Volume

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, measured in cubic units.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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Front

What units are used to measure volume?

Back

Common units for measuring volume include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic inches (in³).

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CCSS.3.MD.A.2

Front

How do you find the volume of a rectangular prism?

Back

To find the volume of a rectangular prism, multiply the length, width, and height: Volume = length × width × height.

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CCSS.7.G.B.6

Front

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

Back

Volume = side × side × side = 3 × 3 × 3 = 27 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If a box has a length of 4 units, a width of 5 units, and a height of 2 units, what is its volume?

Back

Volume = length × width × height = 4 × 5 × 2 = 40 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a cylinder with a radius of 2 units and a height of 5 units?

Back

Volume = π × radius² × height = π × 2² × 5 ≈ 62.83 cubic units.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the formula for the volume of a sphere?

Back

The formula for the volume of a sphere is V = (4/3)πr³, where r is the radius.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What is the volume of a cone with a radius of 3 units and a height of 4 units?

Back

Volume = (1/3)π × radius² × height = (1/3)π × 3² × 4 = 12π ≈ 37.68 cubic units.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What does 'cubic units' mean?

Back

Cubic units refer to the measurement of volume, indicating how many unit cubes can fit into a given space.

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CCSS.5.MD.C.4

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

Front

How can you visualize volume?

Back

You can visualize volume by imagining filling a container with water or counting how many small cubes fit inside a larger shape.

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CCSS.5.MD.C.3B

CCSS.5.MD.C.4