Math stuff - geometry

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9 Terms

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Volume (What Is)

How much space an object takes up

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What is a prism and how to calculate

A prism is a solid with 2 congruent polygon bases and connected by rectangles.

They are named after the base shape

V prism = A base x h (area of the base times height)

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Cylinder Volume

π r² h or π x r² x h

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Pyramid Volume

V pyramid = 1/3 A base x h, The volume of a pyramid is equal to one-third the product of the base area and the height.

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Cone volume

A cone is a pyramid with a circle base, so it’s

π r² h/3 or 1/3 πr²h (we use the formula for a circle’s area)

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Triangular Prism Volume (remember prisms)

Remember the formula for all prisms

it’s (1/2 b h) x h

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Sphere formula

V = 4/3 π r³

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Pyramids

V = 1/3 base area x height. or 1/3 L² H (area of a square or l² x height/ 3)

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Rectangular Prisms volume formula

Volume = length × width × height → be like (base area) × height