Saaismail,
If you look at the crate writing, the first thing you see is KwK 43, which is the designation for the King Tiger Gun. The following line says Pak 43 which is the designation for the antitank gun that fires the same round as the King Tiger. The King Tiger round is much taller than the Tiger 88 round, so the long crate is another indication that it is correct. The 8.8cm Spgr Patr is the designation for the nose-fuzed HE projectile that was supposed to go in the case.
If I were you, I would question the seller regarding the rest of the projectile that is in the case and can't be seen. The value would vary according to if it has the base fuze or not, the condition, etc. If it has a fuze stuck in it, good luck getting it into the U.S. I wouldn't touch it if it had a fuze stuck in it and can't be identified as empty of explosive.
Also, these cases are usually copper washed steel. It looks semi OK, but it could be a real rustball that has been patched with body putty and painted with brass colored paint. These rounds that are showing up now are either dug up from being underground for almost 70 years. If they aren't dug, they are coming from being under water where they were dumped at the end of the war, which also rusts the hell out of steel. The case could be a whiffle ball of parent metal steel and a lot of putty and paint.
If you are serious, and the seller isn't a crook, have him send you photos of the inside of the case and the rest of the projectile. Be advised it will be tough and pricey to get a new windscreen fabricated for the projectile. If this was a complete round in good condition it would sell on auction in the U.S. for $2,000.00 on up depending on market craziness, without the crate. This collection of random parts isn't worth that much.