Composite Volume

Front

What is volume?

Back

Volume is the amount of space an object occupies, typically measured in cubic units.

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CCSS.5.MD.C.3B

CCSS.5.MD.C.4

CCSS.5.MD.C.3A

Front

How do you calculate the volume of a rectangular prism?

Back

The volume of a rectangular prism can be calculated using the formula: 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

The volume of a cube is calculated using the formula: Volume = side³. For a cube with a side length of 3 units, Volume = 3³ = 27 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the formula for the volume of a cylinder?

Back

The volume of a cylinder is calculated using the formula: Volume = π × radius² × height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a rectangular prism has dimensions of 4 cm, 3 cm, and 2 cm, what is its volume?

Back

The volume is calculated as Volume = length × width × height = 4 cm × 3 cm × 2 cm = 24 cm³.

Tags

CCSS.7.G.B.6

Front

What is the volume of a sphere with a radius of 5 cm?

Back

The volume of a sphere is calculated using the formula: Volume = (4/3) × π × radius³. For a radius of 5 cm, Volume = (4/3) × π × 5³ ≈ 523.6 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you find the volume of a composite figure?

Back

To find the volume of a composite figure, break it down into simpler shapes, calculate the volume of each shape, and then sum the volumes.

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CCSS.5.MD.C.5C

Front

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

Back

The volume of a cone is calculated using the formula: Volume = (1/3) × π × radius² × height. For a cone with a radius of 3 cm and height of 4 cm, Volume = (1/3) × π × 3² × 4 = 12π cm³ ≈ 37.7 cm³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

What units are used to measure volume?

Back

Volume is typically measured in cubic units, such as cubic centimeters (cm³), cubic meters (m³), or liters.

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CCSS.3.MD.A.2

Front

What is the relationship between volume and capacity?

Back

Volume refers to the amount of space an object occupies, while capacity refers to the amount of substance (like liquid) that a container can hold.