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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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Presentation on theme: "New Solids: Pyramids, Cones, Spheres Challenge Questions Projects and exam area next week! Sites: 1, 2, 3123 Videos (Bubbles is #2): 1, 212."— Presentation transcript:

1 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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3 Have a polygon for a base Have triangles that join the base to the apex Have some tricky terminology…

4 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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6 Here is the surface area formula: “P” is perimeter of the base “S” is slant height “BA” is area of the base

7 Here is the volume formula: “BA” is area of the base “H” is height (or altitude)

8 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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10 Have a circle for a base Have an apex Have both height and slant height

11 “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.”

12 Here’s the formula for surface area: “r” is radius of the base “S” is slant height

13 Here’s the formula for volume: “H” is height (or altitude)

14 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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16 Have no tricky terminology… …just a radius

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18 Here is the surface area formula: (This formula wierds me out: where did it come from and why is it so simple?)

19 Here is the volume formula: (notice that r is cubed)

20 Find the surface area of a sphere Find the volume of a sphere (FOURTH & FIFTH PROBLEM SETS)

21 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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