Hollow Cuboid Calculator

Calculations at a hollow cuboid or rectangular tube. This is a cuboid with a rectangular hole, two open, opposite sides and walls of equal thickness.
Enter the length of the closed sides a and the thickness d, the length of outer edge b or inner edge b' and the length of outer edge c or inner edge c'. Choose the number of decimal places, then click Calculate.

	Length a:			Hollow cuboid 10 faces, 24 edges, 16 vertices Slice plane: frame
	Thickness d:
	Outer edge b:
	Inner edge b':
	Outer edge c:
	Inner edge c':
	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.

Lengths and thickness 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 a hollow cuboid has eight convex vertices, those of the outer, larger cuboid. It also has eight concave vertices, which are the counterparts of the vertices of the removed inner, smaller cuboid. Its volume is that of the larger cuboid minus that of the smaller one. Its surface area is the sum of the surface areas of both cuboids minus four times the area of ​​one of the rectangular openings. The formulas for these calculations have been rearranged and simplified here so that they rely solely on the dimensions of the outer cuboid and the wall thickness. For three-dimensional solids formed by removing one body from another, calculating the volume is usually trivial if the original volumes are known, whereas calculating the surface area is often not. In the case of two-dimensional shapes, however, calculating the area is simpler, while calculating the perimeter is more complex.
The hollow cuboid shares the same symmetry properties as a standard cuboid. It is symmetric about the three planes that perpendicularly bisect pairs of opposite faces, and it possesses point symmetry about the intersection of these three planes. In this instance, that intersection point, the center of the solid, is not actually part of the solid itself.

Another shape featuring straight (slanted, but not curved) edges and a hole is the hollow frustum.

Last updated on 07/26/2026. Author: Jürgen Kummer

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