First determine how much dirt is "cut"
V = l*w*h
V = 35 ft * 67 ft * 4 ft
V =9380 ft^3
Now determine how much dirt is used
V = l* w * h
V = 27 ft* 24ft * 6ft
V =3888 ft ^3
Subtract to determine how much is left
9380 - 3888
5492 ft^3
But the question asks for yd^3
5492 ft^3 * 1yd/ 3 ft * 1 yd / 3ft * 1 yd / 3 ft
5492 / 27 yd ^3
203.407407 yd^3
203.4 yd^3