Volume of Regular & Irregular Figures

Front

What is volume?

Back

Volume is the amount of space that a substance (solid, liquid, gas) occupies, measured in cubic units.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

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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CCSS.7.G.B.6

Front

What is a composite figure?

Back

A composite figure is a shape that is made up of two or more simple shapes, such as rectangles, triangles, or circles.

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CCSS.1.G.A.2

Front

What is the formula for the volume of a cube?

Back

Volume = Side × Side × Side (or Side³).

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

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

Back

Volume = 4 cm × 3 cm × 2 cm = 24 cm³.

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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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CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Front

How do you calculate the volume of irregular shapes?

Back

Break the shape into known shapes, calculate their volumes, and then add them together.

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CCSS.5.MD.C.5C

Front

What is the unit of volume?

Back

Common units of volume include cubic centimeters (cm³), cubic meters (m³), and liters.

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CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4

Front

What is the volume of a rectangular prism with dimensions 5 cm, 4 cm, and 3 cm?

Back

Volume = 5 cm × 4 cm × 3 cm = 60 cm³.

Tags

CCSS.7.G.B.6

Front

If a cube has a volume of 64 cubic units, what is the length of one side?

Back

Side = 4 units (since 4 × 4 × 4 = 64).

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CCSS.5.MD.C.5B

CCSS.6.G.A.2