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Geometry

Surface Area and Volume of Prisms

Directions: What is the least and greatest amount of surface area possible on a rectangular prism with a volume of 64 cubic inches and whole number side lengths? Source: Marie Isaac, Katrin Marti, and Ryan Turner

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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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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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