Let the length and width of the square board be x cm, when 4 cm are cut of from the corner, the dimensions of the box will be:' length=(x-8) cm width=(x-8) cm height=x cm thus the volume will be: 4(x-8)(x-8)=144 4(x^2-16x+64)=144 this can be written into: x^2-16x^2+64=36 solving the above gives us: x=2 or x=14 when x=2, the dimensions will be negative. Thus we take x=14 cm, the original dimensions are 14 cm by 14 cm