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What is the proper name for a cube which is stretched in one direction. So that it is really four rectangles of the same size with two squares at the ends.

Elongated/stretched cube? Rectangular/square prism?

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up vote 6 down vote accepted

Because all the angles are right angles, it's a cuboid.
Because it has the same cross-section along its length, it's a prism.
Because all the faces are rectangles of one sort or another, it's a rectangular prism.
Because two opposite faces are squares, it's a square prism.
Because all faces are not the same size, it's not a cube.

Reference: Maths is fun

A prism where two opposite sides are triangles is called a triangular prism. What a prism is called is determined by the faces which are not rectangles.

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