Final answer:
The ratio of Ar: AL in a cube is approximately 1:1.41
Step-by-step explanation:
The ratio of Ar: AL in a cube can be found by comparing the corresponding lengths of the diagonals of two opposite faces of the cube. Let's assume the length of one face of the cube is L. The diagonal of one face is L√2, and the diagonal of the opposite face is L, since they are both perfect squares. Therefore, the ratio Ar: AL is 1:√2, which simplifies to approximately 1:1.41. So, the correct answer is option A) 1:1.