5.5 is the answer for the problem
While it was true that the cotton gin reduced the labor of removing seeds, it did not reduce the need for slaves to grow and pick the cotton. In fact, the opposite occurred. Cotton growing became so profitable for the planters that it greatly increased their demand for both land and slave labor
Multiplying the number by 1,000
Diagonal of a cube formula: D=a√3 [a=side length]
D = 5√3 ≈ 8.7 cm.