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Published byAshlee McDonald Modified over 9 years ago
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New Solids: Pyramids, Cones, Spheres Challenge Questions Projects and exam area next week! Sites: 1, 2, 3123 Videos (Bubbles is #2): 1, 212
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Have a polygon for a base Have triangles that join the base to the apex Have some tricky terminology…
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Height (also known as altitude) is the perpendicular distance between base and apex Slant height is the distance between the apex and the center of the base’s edge
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Here is the surface area formula: “P” is perimeter of the base “S” is slant height “BA” is area of the base
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Here is the volume formula: “BA” is area of the base “H” is height (or altitude)
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Correctly label a pyramid’s apex, base, height, and slant height Find the surface area of a square pyramid Find the volume of a square pyramid (FIRST & SECOND PROBLEM SETS)
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Have a circle for a base Have an apex Have both height and slant height
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“In projective geometry, a cylinder is simply a cone whose apex is at infinity, which corresponds visually to a cylinder in perspective appearing to be a cone towards the sky.”
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Here’s the formula for surface area: “r” is radius of the base “S” is slant height
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Here’s the formula for volume: “H” is height (or altitude)
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Correctly label a cone’s apex, base, height, and slant height Find the surface area of a right cone Find the volume of a cone (THIRD PROBLEM SET)
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Have no tricky terminology… …just a radius
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Here is the surface area formula: (This formula wierds me out: where did it come from and why is it so simple?)
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Here is the volume formula: (notice that r is cubed)
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Find the surface area of a sphere Find the volume of a sphere (FOURTH & FIFTH PROBLEM SETS)
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Find the volume of combo-objects Surface area to volume ratio of cube and sphere Predict the Mobius strip’s split Old school math
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