Geometry

Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a triangle with side lengths that give the corresponding area. Source: Owen Kaplinsky

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the statement true. (Note: Image is not to scale) Source: Owen Kaplinsky

Directions: What is the greatest area you can make with a right trapezoid that has a perimeter of 46 units? Source: Patrick McGowan

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

Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to create a quadrilateral with an area of 16 square units. Source: Daniel Luevanos

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

Directions: What is least amount of surface area possible on a rectangular prism with a volume of 64 cubic inches? Source: Robert Kaplinsky

Directions: List the measurements of three different rectangular prisms that each have a surface area of 72 square units? Source: Robert Kaplinsky