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 calculate the volume of a rectangular prism?

Back

Volume = length × width × height.

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CCSS.7.G.B.6

Front

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

Back

Volume = 3 × 3 × 3 = 27 cubic units.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2

Front

What is a composite figure?

Back

A composite figure is a shape that is 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 figure?

Back

Split the figure into known shapes, calculate the volume of each, 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

Volume = 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 5 units, width of 4 units, and height of 3 units, what is its volume?

Back

Volume = 5 × 4 × 3 = 60 cubic units.

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CCSS.7.G.B.6

Front

What is the volume of a prism with a base area of 10 square units and a height of 5 units?

Back

Volume = base area × height = 10 × 5 = 50 cubic units.

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CCSS.7.G.B.6

Front

What units are used to measure volume?

Back

Common units include cubic centimeters (cm³), cubic meters (m³), liters (L), and cubic inches (in³).

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CCSS.3.MD.A.2

Front

How do you find the missing dimension of a figure if you know the volume?

Back

Use the formula for volume and rearrange it to solve for the missing dimension.

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CCSS.5.MD.C.5B

CCSS.6.G.A.2