Valerie M. answered • 01/30/13

Tutoring for Elementary Students K-6

A rectangular prism has four faces that are rectangles and two faces that are squares.

A cube has six faces that are squares.

Amy S.

asked • 01/30/13Elementary geometry

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Valerie M. answered • 01/30/13

Tutoring for Elementary Students K-6

A rectangular prism has four faces that are rectangles and two faces that are squares.

A cube has six faces that are squares.

Kevin S. answered • 01/30/13

Let's start in two dimensions first:

A square is a rectangle with all sides equal. So all squares are rectangles, but not all rectangles are squares.

Similarly, a cube is a rectangular prism with all sides equal, and therefore all faces of equal area.

A rectangular prism will have 4 faces of equal area and 2 faces of equal area.

So a cube is a rectangular prism, but not all rectangular prisms are cubes.

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