Postal Restrictions

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Find the dimensions of a cylinder-shaped package, based on USPS requirements, with the largest volume.

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Same But Different

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Compare volume and surface area of solids.

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Creating a Box

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Create a box of maximum volume from a given rectangular sheet of paper.

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Divide into n-th Segment

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Divide sides of a polygon to construct polygons in the interior region of another polygon.

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Apothem and Area

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Explore the relationship between the apothem, perimeter, and area of a regular polygon.

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Pentagons with Restricted Perimeter

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Find the largest possible area of a pentagon with a restricted perimeter.

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Triangles in Hexagons

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Determine the probability that a point inside a hexagon is also inside a triangle that shares common vertices.

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Medial Polygons

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Investigate the characteristics of a polygon that is generated by connecting the midpoints of consecutive sides of a polygon.

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Constructing a Square

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Use a dynamic software tool to construct a square in different ways.

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Sum of Exterior Angles

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Determine the sum of the exterior angles in any polygon.

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