Volume Composite Shapes

Front

What is volume?

Back

Volume is the amount of space occupied by a three-dimensional object, measured in cubic units.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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Front

How do you calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

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CCSS.7.G.B.6

Front

What is a composite shape?

Back

A composite shape is a figure made up of two or more simple shapes.

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CCSS.1.G.A.2

Front

How do you find the volume of a composite shape?

Back

To find the volume of a composite shape, calculate the volume of each simple shape and then add them together.

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CCSS.5.MD.C.5C

Front

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

Back

Volume = 3 cm × 3 cm × 3 cm = 27 cm³.

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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

Volume = π × radius² × height.

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Front

How do you find the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

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CCSS.HSG.GMD.A.3

Front

What is the volume of a cone?

Back

Volume = (1/3) × π × radius² × height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

If a rectangular prism has a length of 4 cm, width of 5 cm, and height of 6 cm, what is its volume?

Back

Volume = 4 cm × 5 cm × 6 cm = 120 cm³.

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CCSS.7.G.B.6

Front

What is the volume of a composite solid made of a cube and a cylinder?

Back

Calculate the volume of the cube and the cylinder separately, then add them together.

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CCSS.5.MD.C.5C