Geometry

The Triangle Inequality

Directions: Using the integers 1 to 10, at most one time each (though 7 and 9 can still be used), place an integer in each box to complete the scenarios below: Source: Shaun Errichiello

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Area/Circumference of Circles

Directions: If possible, find the radius of a circle where the area of the circle and the circumference of the circle are equal. Is there more than one possible answer? Source: Karen Bloom

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Maximizing Surface Area

Directions: The following prism is made up of 27 identical cubes. What is the greatest possible surface area the prism can have after removing 1 or more cubes from the outside? Source: Brian Lack

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Square and Circle Area

Directions: Using the digits 1 to 6, at most one time each, place a digit in each box to create the largest possible combined area for the rectangle and circle. Source: Mike Chamberlain

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Maximizing Rectangular Prism Volume

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

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Circle Radius

Directions: What is a radius for a circle that has an area of 20 to 25 square feet? Source: Nathan Charlton

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