If the sides of a rectangle (not rectangular) are X and Y units, then the corner to corner length - the diagonal - is sqrt(X2 + Y2)
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8, one for each corner; all cubes are rectangular.
length and width
In a rectangular prism, there are 8 corners, or vertices. each corner has 3 dimensions, so there would be 3 angles per corner, for a grand total of 24 angles. There are no triangular or circular faces on a rectangular prism. There are 6 rectangular faces.
There are five of them. One at each corner of the rectangular base, and the fifth at the apex where the triangular faces meet.