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Multidimensional arrays can be thought of as arrays of arrays. In a two-dimensional array, each element represents an array, and in a three-dimensional array, each element contains a two-dimensional array. Think of a three-dimensional array as a cube where you have layers of two-dimensional arrays representing rows and columns.

To declare a 3-dimensional array in C++, specify the type, followed by the name of the array, and then provide the dimensions in square brackets. For example, to declare a 3x3x3 integer array, we would use the following syntax: ```cpp int my3DArray[3][3][3]; ```

To initialize a 3-dimensional array, you can assign values to each element using nested loops. The outer loop iterates through the layers of the array, and the inner two loops iterate through rows and columns. Here's an example of how you could initialize a 3x3x3 integer array: ```cpp int value = 1; for (int layer = 0; layer < 3; layer++) { for (int row = 0; row < 3; row++) { for (int col = 0; col < 3; col++) { my3DArray[layer][row][col] = value; value++; } } } ``` Now, '`my3DArray`' contains values from 1 to 27, assigned incrementally to its elements. Each layer, row, and column has size 3, as specified in the declaration. By following these steps and understanding the concepts behind multidimensional arrays, you can easily create and manipulate arrays in C++ with three or more dimensions.