Megmérjük a profilmélységet.

It breaks down like this:

• meg- = a verbal prefix
• mér = the verb stem, measure
• -jük = we ending in the definite conjugation

So megmérjük literally means something like we measure it / we will measure it completely.

Because Hungarian verb endings usually already show the subject.

Here, -jük tells you the subject is we. So mi (we) is not necessary unless you want emphasis or contrast.

• Megmérjük a profilmélységet. = We measure / will measure the profile depth.
• Mi mérjük meg a profilmélységet. = We are the ones who will measure it.

Because Hungarian has two kinds of verb conjugation:

• indefinite conjugation
• definite conjugation

You use the definite conjugation when the verb has a definite direct object. In this sentence, the object is a profilmélységet = the profile depth, which is definite because of a (the).

So:

• mérünk = we measure something non-specific
• mérjük = we measure it / the specific thing

That is why -jük is used here.

Meg- often gives the verb a sense of completion, result, or successfully carrying out the action.

So:

• mérjük = we are measuring / we measure
• megmérjük = we measure it fully / we will measure it and get the result

With verbs like this, meg- often makes the action feel more like a complete, one-time act rather than an ongoing process.

Because it is the direct object of the verb, so it takes the accusative ending.

The basic noun is:

• profilmélység

As the object, it becomes:

• profilmélységet

The accusative marker is basically -t, but Hungarian often inserts a linking vowel before it, so here you get -et.

So:

• profilmélység = profile depth
• profilmélységet = profile depth as the thing being measured

Hungarian has two forms of the:

• a before a consonant sound
• az before a vowel sound

Since profilmélységet begins with p, a consonant, the correct article is a.

Examples:

• a könyv = the book
• az autó = the car

This has nothing to do with gender. Hungarian does not have grammatical gender like the vs la/le in some other languages.

Grammatically, it is present tense. But in Hungarian, the present tense is often used to talk about the future, especially when the context makes that clear.

So Megmérjük a profilmélységet can mean:

• We measure the profile depth
• We will measure the profile depth

Because of meg-, it often sounds more natural as a completed future action in many contexts: We’ll measure it.

Yes. Hungarian word order is flexible, and changing it often changes the focus or emphasis, not just style.

The given sentence:

• Megmérjük a profilmélységet.

is a normal, neutral way to say it.

But you could also have:

• A profilmélységet mérjük meg.
  This puts more focus on the profile depth.

Also, verbal prefixes like meg- can move away from the verb in certain situations:

• Nem mérjük meg a profilmélységet. = We do not measure the profile depth.
• Megmérjük a profilmélységet? = Will we measure the profile depth?
• A profilmélységet mérjük meg. = focus structure

So learners often need to get used to the fact that meg- does not always stay attached right in front of the verb.

It is a compound noun:

• profil = profile
• mélység = depth

So together it means profile depth. In practical or technical contexts, this often refers to something like tread depth.

Hungarian forms many nouns this way, by combining existing words into one longer compound.

Hungarian often uses the singular where English might sometimes prefer a plural, depending on context.

Here, a profilmélységet refers to the measurement as a single technical quantity: the profile depth.

Hungarian focuses on the concept being measured, not necessarily on multiple separate depths. If the speaker meant several different ones, the noun could be plural, but the singular is perfectly natural for a single measured parameter.