Composite Volume

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What is Composite Volume?

Back

Composite Volume refers to the total volume of a three-dimensional shape that is made up of two or more simpler shapes. To find the composite volume, you calculate the volume of each individual shape and then add them together.

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CCSS.5.MD.C.5C

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How do you find the volume of a rectangular prism?

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

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CCSS.7.G.B.6

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What is the formula for the volume of a cylinder?

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

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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What is the volume of a cube with a side length of 4 cm?

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Volume = side³ = 4 cm × 4 cm × 4 cm = 64 cubic cm.

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CCSS.5.MD.C.5B

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What is the volume of a pyramid?

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The volume of a pyramid is calculated using the formula: Volume = (1/3) × base area × height.

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CCSS.HSG.GMD.A.3

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What is the difference between a prism and a pyramid?

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A prism has two parallel bases that are congruent, while a pyramid has one base and triangular faces that meet at a point (the apex).

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Front

How do you find the volume of a composite shape?

Back

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

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CCSS.5.MD.C.5C

Front

What is the volume of a cone?

Back

The volume of a cone is calculated using the formula: Volume = (1/3) × π × radius² × height.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

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If a rectangular prism has a length of 5 cm, width of 3 cm, and height of 2 cm, what is its volume?

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Volume = length × width × height = 5 cm × 3 cm × 2 cm = 30 cubic cm.

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CCSS.7.G.B.6

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What is the volume of a sphere?

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The volume of a sphere is calculated using the formula: Volume = (4/3) × π × radius³.

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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3