Calculations in a diagonally bisected square pillar, a hexahedron with one inclined surface. A cuboid with two sides of equal length is cut straight in half from one vertex to the opposite vertex. For a=h, this is a diagonally bisected cube. Enter one value of base length a and slant length b plus one value of height h and half height i. Choose the number of decimal places, then click Calculate. The angle is calculated in degrees, here you can convert angle units.
i = h / 2
b = √ a² + i²
α = 180° - 2 * acos [ a² / ( √2 * a * b ) ]
A = a² + 4 * a * i + b² * sin( α )
V = a² * i
Lengths and heights 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.