vector<bool> working_lattice(box.rect.length * box.rect.height * box.rect.width);
How do I access working_lattice[1][5][3]
using the style of declaration above?
You need to access it as
(i * length * height) + (j * height) + k
So in your case
working_lattice[(i * box.rect.length * box.rect.height) + (j * box.rect.height) + k);
or
working_lattice[(1 * box.rect.length * box.rect.height) + (5 * box.rect.height) + 3);
EDIT: Since you mentioned x, y, z elsewhere
working_lattice[(x * box.rect.length * box.rect.height) + (y * box.rect.height) + z);