Square Pillar Calculator

Calculations at a square pillar. This is a rectangular cuboid with two edges of the same length a. This is a prism with a square as base.
Enter both edge lengths and choose the number of decimal places. Then click Calculate.

	Base edges (a):			6 faces, 12 edges, 8 vertices Bases: squares, faces: rectangles
	Third edge, height (b):
	Space diagonal (d):
	Surface area (A):
	Volume (V):
	Surface-to-volume ratio (A/V):
	Round to   0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15   decimal places.

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.

This shape is somewhat easier to calculate than the general cuboid, as only two values ​​are required instead of three. In applications, a pillar is usually referred to when the base is at the bottom and the third side b is significantly longer than the sides of the base a. If b is smaller than a, nothing changes mathematically, but for real objects, it is rarely referred to as a pillar. If b is significantly smaller than a, then this shape is also called a square disk. Here, however, the mathematical term square pillar refers to each of these shapes, regardless of the ratio of the two different lengths.
The square pillar is mirror-symmetric about five different planes. One passes through the midpoints of the four sides b. Two of these planes of symmetry pass through the opposite vertices of both bases. Two further planes of symmetry pass through the midpoints of the opposite sides of both bases.
The cuboid is a common shape for many things, and the square pillar is a common form of the cuboid. However, when the square pillar is used as an actual pillar in architecture, it appears rough, unfriendly and cold compared to the round pillar.