The volume of the remaining solid can be calculated by subtracting the volume of the cylindrical hole from the volume of the original box.
1- getting volume of original box:
We have:
length of box = 24 cm
width of box = 16 cm
height of box = 16 cm
Since the box has a rectangular shape, therefore:
volume of box = length * width * height
volume of box = 24 * 16 * 16 = 6144 cm^3
2- getting the volume of cylindrical hole:
We have:
radius of hole = 4 cm
height of hole = 24 cm (as it goes along the hole length of the original box)
Volume pf cylinder = pi * r^2 * h
volume of cylinder = pi * (4)^2 * 24 = 1206.371579 cm^3
3- getting volume of remaining solid:
volume of remaining solid = volume of box - volume of cylinder
volume of remaining solid = 6144 - 1206.371579 = 4937.628421 cm^3