Calculate the Volume on an Area
Calculator for the volume on an area at a particular height. If an area is extended vertically up, the volume is calculated as area times height. The volume is a three-dimensional value. Therefore, depending on the unit, the value can get very high or very low. Please enter two values and choose the units. The other two values will be calculated.
Units of measurement: cm=centimeter, dm=decimeter, m=meter, km=kilometer, in=inch, ft=foot, yd=yard, mi=mile, ²,sq=square, a=are, ha=hectare, ac=acre, ³=cubic, ml=milliliter, l=liter, hl=hectoliter
Volume is calculated by multiplying an area by a length, i.e., a straight line. Two-dimensional times one-dimensional equals three-dimensional. For this, the line must not lie within the area. If the line is not perpendicular to the surface, the calculation is somewhat more complicated. If the area is in square meters and the height in meters, then the resulting volume is in cubic meters.
The geometric shape that results from extending a two-dimensional shape vertically upwards and then truncating it so that the top has the same area as the bottom is called a generalized cylinder. If the base is a polygon, that is, a polygon with only straight edges, then this shape is also called a prism. The calculation is the same in both cases. The area of the base is multiplied by the height to obtain the volume. This also applies if the cylinder or prism is oblique, meaning the two bases are not directly on top of each other but are offset. In that case, however, the height is different from the length of the vertical edges or sides; in particular, it is shorter. If the bases are rotated relative to each other, this calculation is no longer correct, nor is it correct if the bases are of different sizes or even have a different shape. For bases of different sizes that are not rotated, the result is a frustum or a general truncated cone.
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