Calculations in an oblique prism. Different to a right prism, the sides are not perpendicular to the bases (angle of slope ≠ 90°). Cavalieri's principle says, that the volume of the oblique prism is similar to that of the right prism with equal base and height. The surface area can be calculated as 2 * base area + areas of the parallelograms. Enter angle and side length or height and base area or volume. Choose the number of decimal places, then click Calculate. Please enter angles in degrees, here you can convert angle units.
a = h / sin( α )
V = As * h
These formulas also apply to a generalized, oblique cylinder.
Lenght and height 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).