The conventional calculation is pretty trivial:
Volume shot per hole (cu.yds.) = B * S * H / 27, where
B = burden in feet (6' in this example)
S = spacing in feet (5' in this example)
H = hole depth in feet (44' in this example)
V per hole is about 49 cu/yd, or about 2890 cu yd for 59 holes...