The volume of a cube is 8 cm³ and is equal to the volume of a cuboid of length x, breadth y and height z, where x, y and z are natural numbers (x > y > z). Let n be the number of such cuboids with different dimensions. What is the value of n?

Volume = 8 cm³, so xyz = 8 with x > y > z, all natural numbers. Factorizations of 8 into three distinct natural numbers in decreasing order: 8 = 8 × 1 × 1 (not distinct), 8 = 4 × 2 × 1 (distinct, satisfies 4 > 2 > 1) ✓, 8 = 2 × 2 × 2 (not distinct). Only one valid triple: (4, 2, 1). So n = 1.