Let r = radius of the hard rubber ball. The circumference of the ball is 13 inches, therefore 2πr = 13 r = 13/(2π) = 2.069 inches The diameter of the ball is 2*2.069 = 4.138 inches.
The ball is hard and cannot be compressed. Therefore the length of a side of the smallest cube-shaped box with integer dimensions is 5 inches. The volume of the box is 5³ = 125 in³.
