2 rockets to destroy a Wooden Wall. That's 2,800 sulfur in raw materials.
1 C4 charges to break a Wooden Wall — roughly 2,200 sulfur plus metal fragments and tech trash.
3 satchels to destroy a Wooden Wall in Rust. Satchels have the best damage-per-sulfur ratio on soft sides.
The cheapest explosive option for a Wooden Wall is 13× Beancan Grenade at roughly 780 sulfur.