Area of cube = s*s*s = 2.4 * 2.4 * 2.4 = 13.824 m³
Since the sphere is snugly fit in the cube, so the diameter of the sphere is equal to the length of the cube.
d = 2.4m, radius, r = d/2 = 2.4/2 = 1.2 m
Volume of sphere = (4/3)πr³
= (4/3)*π*1.2*1.2*1.2 = 2.304π
≈ 2.304*3.1416 ≈ 7.2382 m³
Volume of space between sphere and cube = Volume of cube - Volume of sphere
= 13.824 m³ - 7.2382 m³ = 6.5858 m³
Volume ≈ 6.6 m³ to the nearest tenth
Hope this helps.