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Robert Kaplinsky

Maximizing Rectangular Prism Volume

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to list the dimensions of a rectangular prism with the greatest volume. Source: Robert Kaplinsky

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Maximizing Rectangular Prism Surface Area

Directions: Using the digits 1 through 9 at most one time each, fill in the boxes to list the dimensions of a rectangular prism with the greatest possible surface area. Source: Robert Kaplinsky

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Solution of Two Linear Equations

Directions: Using the Integers 0-9 (without duplication), provide four sets of points that represent two distinct lines. These lines can be written as two linear equations. Then provide a fifth point that represents the intersection (or solution) of those equations. Line 1: (__, __) and (__, __) Line 2: (__, __) and (__, __) Solution (__, __) Source: Bryan Anderson

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Finding the Length of a Right Triangle’s Altitude

Directions: The black triangle is a right triangle with legs 8 and 6. The vertices are at the points (0,0), (0,8), and (6,0). The red line segment is perpendicular to hypotenuse. Find the length of the red line segment. Source: Kate Nerdypoo

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Parallel Lines and Perpendicular Transversals

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes so that 2 of the lines are parallel and the third line is a transversal that is as close to perpendicular to the parallel lines as possible. Source: Shelli Foust and Robert Kaplinsky

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