Explanation

This combines the cube's surface-area and space-diagonal formulas. Surface area 6a² = 13254 gives a² = 2209, so a = 47 cm. The space diagonal of a cube is a√3, giving 47√3 cm. Option (a) 44√2 is the trap from confusing the space diagonal with the face diagonal (a√2) and mis-solving for a. Hence option (d).