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24 Terms

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Apothem

the distance from the center of a regular polygon to any side

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Radius

the distance from the center of a regular polygon to its vertex

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Composite figure

a figure that's made up of separate basic figures (regions)

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Cavalieri's Principle

If 2 or more 3D figures have the same height and same cross-sectional area at every point/level, then they have the same volume.

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1 gallon= ...in³

231

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The the largest cross-section of a circle is known as...

the Great Circle

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Composite solid

a figure that is made of multiple shapes

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Surface area is a^? times of the original

a²

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Volume is a^? times of the original

a³

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Area formula for regular polygon

A= 1/2 (ap)

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Volume formula for rectangular prism

V= LWH

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Surface area formula for rectangular prism

SA= 2LW + 2LH + 2WH

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Volume formula of non-rectangular prism

V= Bh

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Surface area formula of non-rectangular prism

SA= hp + 2B

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Volume formula for cylinder

V= πr²h

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Surface area formula for cylinder

SA= 2πr² + 2πrh

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Volume formula for pyramid

V= 1/3 (Bh)

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Volume formula for cone

V= 1/3 (πr²)h

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Volume formula for sphere

V= 4/3 (πr³)

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Surface area formula for sphere

SA= 4πr²

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Volume formula for hemisphere

V= 2/3 (πr³)

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Surface area for hemisphere

SA= 2πr² + πr² or SA= 3πr²

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SOH CAH TOA

Sine: Opposite, Hypotenuse-- Cosine: Adjacent, Hypotenuse-- Tangent: Opposite, Adjacent

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Pythagorean Theorem

a² + b² = c²

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