Calculations at a bent cuboid. This is a cuboid with a rectangular bend, or two cuboids with the same width and height, that are stuck together at their ends, whereas one cuboid overlaps the other. The total length refers to the unbent cuboid, the partial lengths to the outer lengths of the two parts. Geometrically, this bent cuboid is a non-convex prism.
Enter two lengths, width and height and choose the number of decimal places. Then click Calculate.
Formulas:
Edges and diagonal have the same unit (e.g. meter), the area has this unit squared (e.g. square meter), the volume has this unit to the power of three (e.g. cubic meter). A/V has this unit -1.
Such rectangular bent cuboids can appear as prefabricated or molded parts, manufactured directly in that shape rather than being bent from cuboids. An ideal bend as here is only theoretically. In practice, the bending process results in ridges, crushing, other deformations, and potentially fractures.
Instead of using two cuboids, this shape can also be formed from two wedge cuboids joined at their slanted faces. If both arms of the bent cuboid are of equal length, the bent cuboid can be divided into two identical wedge cuboids.
For a rectangular bent cuboid, the wedge cuboids require identical values for the base length a and the height difference h2-h1 to achieve a slant angle of 45 degrees. Using a different slant angle allows for the creation of bent cuboids with angles other than 90 degrees, those are prisms of the two-dimensional shape called here sharp kink.
Such a bent cuboid is mirror-symmetric about the plane that bisects the edges defining the height. If both arms are of equal length, the slanted face of the two wedge cuboids also forms a plane of symmetry. This shape has only right angles. Two of these are exterior right angles, located at the concave corners of the bend, measuring 270 degrees. The other angles are interior right angles measuring 90 degrees.