10x10x10

10x10x10 refers to a cube in geometry with each edge measuring 10 units. It is commonly used to illustrate basic formulas for three-dimensional figures. For a cube with edge length a, the volume is a^3 and the surface area is 6a^2. When a equals 10, the volume is 1000 cubic units and the surface area is 600 square units. The space diagonal, the longest distance between opposite corners, is a√3, which equals 10√3 ≈ 17.32 units. The face diagonal is a√2, or 10√2 ≈ 14.14 units.

In computing and data organization, 10x10x10 describes a three-dimensional array or grid with 10 elements along each dimension, totaling 1000 elements. This dimensionality is common in simulations, voxel-based imaging, and 3D modeling where discrete units form a cube-shaped volume.

In manufacturing and packaging, a physical cube with 10-unit edges serves as a standard reference for modular design or scale comparisons, with the corresponding volume expressed in cubic units and, when the units are cubic centimeters, a volume of 1000 cm^3 (one liter).

Variants and related terms include 10×10×10, 10 by 10 by 10, and 10^3, the latter representing exponentiation rather than a geometric edge length. See also Cube, dimensions, volume, surface area, voxel, and three-dimensional arrays.