2×3×2

2×3×2 is a triplet of positive integers commonly used to describe three-dimensional dimensions or the shape of an array. The notation conveys lengths along three orthogonal axes, often labeled as length, width, and height, though the order is not inherently fixed without context.

In geometry, a rectangular prism with side lengths 2, 3, and 2 has a volume of 2×3×2 = 12 cubic units. The surface area is calculated as 2(ab + bc + ca) with a = 2, b = 3, c = 2, giving 2(6 + 6 + 4) = 32 square units. The arrangement of the dimensions affects the prism’s orientation but not the volume.

In linear algebra and computing, 2×3×2 describes the shape of a three-dimensional array or tensor. This can be interpreted as a collection of 12 elements arranged along three axes: 2 elements in the first dimension, 3 in the second, and 2 in the third. Depending on context, it may be viewed as a batch of 2 matrices of size 3×2, or as 2 layers of a 3×2 matrix. The exact interpretation varies with the application and data-processing framework.

Common uses include modeling physical objects, specifying data shapes in programming (such as tensors in machine learning), and describing compact rectangular blocks in manufacturing or packaging. The product 2×3×2 equals 12, which often corresponds to the total count of unit elements in the three-dimensional block.

See also: rectangular prism, tensor shapes, dimensional notation.