После душа стоит вытереть пол в ванной.

Because после requires the genitive case.

• душ = nominative singular
• душа = genitive singular

So после душа means after the shower / after showering.

This is a very common pattern:

• после работы = after work
• после урока = after the lesson
• после фильма = after the movie

In normal usage, it usually means after showering.

Russian often uses a noun phrase where English might prefer a verb phrase. So instead of saying something like after taking a shower, Russian can simply say после душа.

In this sentence, the natural interpretation is:

• after someone has taken a shower

not:

• after some shower fixture in a room

Context makes that clear.

No. Here стоит comes from стоить, not стоять.

• стоять = to stand
• стоить = to cost / to be worth

In the pattern стоит + infinitive, it means something like:

• it is worth doing
• it’s a good idea to do
• one should do

So стоит вытереть means it’s worth wiping or you should wipe.

This is softer than a direct command and often softer than надо or нужно.

Because стоит gives a nuance of advice or recommendation, not strict necessity.

Compare:

• стоит вытереть пол = it’s worth wiping the floor / you should wipe the floor
• нужно вытереть пол = it is necessary to wipe the floor
• надо вытереть пол = need to wipe the floor

So стоит sounds a bit more gentle and practical, like helpful advice.

Because the sentence is talking about one complete action with a result: wipe the floor dry.

• вытереть = perfective, to wipe dry / wipe off completely
• вытирать = imperfective, to be wiping / to wipe regularly / in general

With стоит + infinitive, Russian often uses the perfective when the speaker means:

• do this once
• complete the action
• achieve the result

Here the idea is not just the process of wiping, but the finished result: the floor should end up dry.

Because пол is the direct object of вытереть, so it is in the accusative case.

For inanimate masculine nouns in the singular, the accusative often looks exactly like the nominative.

So:

• nominative: пол
• accusative: пол

That is why the form does not change.

Compare with another masculine inanimate noun:

• стол → вижу стол

But with animate masculine nouns, accusative usually matches genitive:

• брат → вижу брата

Because this phrase answers where?, not to where?

• в ванной = in the bathroom
• в ванную = into the bathroom

Russian uses:

• prepositional case after в for location
• accusative case after в for motion/destination

Here the floor is located in the bathroom, so Russian uses в ванной.

It can mean either in some contexts, but here it clearly means in the bathroom.

Why?

Because the sentence says пол в ванной — the floor in the bathroom. A floor belongs to a room, not to a bathtub.

Also, ванная often means bathroom, historically from ванная комната. Russian very often drops комната and just says ванная.

There is no explicit subject, and that is normal.

This is an impersonal recommendation. Russian often leaves the subject unstated when the meaning is general:

• Стоит вытереть пол = One should wipe the floor / It’s worth wiping the floor

The understood subject is something like:

• you
• one
• people in general

English often needs to choose a subject, but Russian does not always do so.

Because Russian word order is flexible, and putting После душа first sets the time frame immediately.

So the sentence begins by telling you when this advice applies:

• After showering, it’s worth wiping the bathroom floor.

A different order is possible, for example:

• Стоит вытереть пол в ванной после душа.

That is also understandable, but После душа first sounds very natural because it introduces the situation before the advice.

Yes, absolutely. That would be grammatical and natural.

The main difference is tone:

• стоит вытереть = softer, more like advice
• нужно вытереть = more necessary, more direct

So both work, but they do not feel exactly the same. The original sentence sounds more like a recommendation than a strict rule.