Find Volume of Composed Figures

Front

What is volume?

Back

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

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CCSS.5.MD.C.3A

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How do you find the volume of a rectangular prism?

Back

Multiply the length, width, and height: Volume = length × width × height.

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Front

What is a composite figure?

Back

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

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How do you find the volume of a composite figure?

Back

Find the volume of each simple shape and then add them together.

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What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), cubic inches (in³), and cubic feet (ft³).

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Front

If a rectangular prism has a length of 5 ft, width of 4 ft, and height of 3 ft, what is its volume?

Back

Volume = 5 ft × 4 ft × 3 ft = 60 ft³.

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CCSS.7.G.B.6

Front

What is the volume of a cylinder?

Back

Volume = π × radius² × height.

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How do you calculate the volume of a sphere?

Back

Volume = (4/3) × π × radius³.

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CCSS.8.G.C.9

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If a composite figure consists of a cube with a volume of 27 cm³ and a cylinder with a volume of 15 cm³, what is the total volume?

Back

Total Volume = 27 cm³ + 15 cm³ = 42 cm³.

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CCSS.5.MD.C.5C

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What is the formula for the volume of a cone?

Back

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

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CCSS.8.G.C.9

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