MD.3.5c Volume of Composite Figures

Front

What is the volume of a rectangular prism?

Back

The volume of a rectangular prism is calculated by multiplying its length, width, and height. Formula: Volume = Length × Width × Height.

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CCSS.7.G.B.6

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 (like rectangular prisms or cylinders), calculate the volume of each shape, and then add them together.

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CCSS.5.MD.C.5C

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.HSG.GMD.A.3

Front

If a rectangular prism has a volume of 120 cm³, a length of 10 cm, what is the width if the height is 3 cm?

Back

Width = Volume / (Length × Height) = 120 cm³ / (10 cm × 3 cm) = 4 cm.

Tags

CCSS.7.G.B.6

Front

What is the unit of measurement for volume?

Back

The unit of measurement for volume is cubic units, such as cubic centimeters (cm³), cubic meters (m³), or cubic inches (in³).

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

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Front

What is a composite figure?

Back

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

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CCSS.1.G.A.2

Front

How do you convert cubic inches to cubic feet?

Back

To convert cubic inches to cubic feet, divide the number of cubic inches by 1728 (since 1 cubic foot = 12 × 12 × 12 = 1728 cubic inches).

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is the volume of a cube with a side length of 5 cm?

Back

Volume = Side³ = 5 cm × 5 cm × 5 cm = 125 cm³.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

If the volume of a rectangular prism is 420 cm³, length is 12 cm, and width is 7 cm, what is the height?

Back

Height = Volume / (Length × Width) = 420 cm³ / (12 cm × 7 cm) = 5 cm.

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CCSS.7.G.B.6

Front

What is the volume of a figure with a base area of 10 cm² and a height of 6 cm?

Back

Volume = Base Area × Height = 10 cm² × 6 cm = 60 cm³.

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CCSS.7.G.B.6