Concept used: Volume of cuboidal box = length × breadth × height Calculation: Let breadth of the box be x. (4x/3) × x × (4x/6) =1536 ⇒ 16x3/18 = 1536 ⇒x3= 1536 × 18/16 ⇒x3 = 1728 ⇒ x = 12 length = 4x/3 ⇒ 4 × 12/3 ⇒ 16 ∴ The the length of the box is 16 cm.