Μετράμε το ύψος του τοίχου.

Μετράμε is the 1st person plural present form of the verb μετράω / μετρώ, meaning to measure.

So Μετράμε means:

• we measure
• we are measuring

In Greek, the present tense often covers both the simple present and the present continuous, depending on context.

Greek often leaves out subject pronouns when they are not needed. The verb ending already shows who the subject is.

Here, the ending -με in Μετράμε tells you the subject is we.

So:

• Μετράμε = we measure / we are measuring
• Εμείς μετράμε = we measure with extra emphasis on we

This is very common in Greek.

Ύψος means height, and it is a neuter noun in Greek.

That is why it takes the neuter singular article το:

• το ύψος = the height

So even though height in English has no grammatical gender, in Greek every noun has one, and ύψος happens to be neuter.

Because Greek uses the genitive case to express of the wall.

The basic form is:

• ο τοίχος = the wall

But after ύψος, we need:

• του τοίχου = of the wall

So the sentence structure is:

• το ύψος του τοίχου = the height of the wall

This is similar to how English uses of.

Here, του is the genitive singular masculine article, so it means of the.

• του τοίχου = of the wall

But του can also be a possessive pronoun meaning his. Greek distinguishes them by structure and context.

Compare:

• του τοίχου = of the wall
• ο τοίχος του = his wall / the wall of him

So in your sentence, του is not his. It is part of του τοίχου.

Greek normally uses the article with both nouns here:

• το ύψος = the height
• του τοίχου = of the wall

So Greek says literally:

• the height of the wall

This is very normal Greek structure. English also has the before both nouns here, so it lines up fairly well.

Because Greek often expresses meanings like of, from, and some other relationships through case endings rather than with a separate word.

Here:

• τοίχος = wall
• τοίχου = of the wall

So the idea of of is built into the genitive form τοίχου, together with the article του.

No, Greek word order is more flexible than English word order.

The neutral sentence here is:

• Μετράμε το ύψος του τοίχου.

But Greek could move parts around for emphasis, for example:

• Το ύψος του τοίχου μετράμε.

That would sound more marked, something like It’s the height of the wall that we’re measuring.

Because Greek uses articles and case endings, the meaning stays clear even when the order changes.

A rough English-style pronunciation is:

• me-TRA-me to EE-psos too TEE-hoo

A few useful points:

• μετράμε has the stress on τρά
• ύψος has the stress on the first syllable
• οι in τοίχου is pronounced like ee
• χ is not exactly English h; it is a rougher sound, especially before ου

A more phonetic version is:

• /meˈtrame to ˈipsos tu ˈtixu/

The dictionary forms are:

• μετράω / μετρώ = to measure
• το ύψος = height
• ο τοίχος = wall

In the sentence, you see changed forms because of grammar:

• μετράω / μετρώ → μετράμε
• ο τοίχος → του τοίχου

Yes. In Greek, the present tense here can mean either:

• We measure the height of the wall
• We are measuring the height of the wall

Context tells you which is more natural.

If someone is describing what they are doing right now, it will usually mean:

• We are measuring the height of the wall

If they are talking about a regular activity or procedure, it can mean:

• We measure the height of the wall

The sentence breaks down like this:

• Μετράμε = we measure / we are measuring
• το ύψος = the height
• του τοίχου = of the wall

So the full structure is:

• [Verb] + [Direct object] + [Genitive phrase]

More literally:

• We measure the height of the wall.

This is a very useful pattern in Greek:

• το χρώμα του σπιτιού = the color of the house
• το μήκος του δρόμου = the length of the road
• το ύψος του τοίχου = the height of the wall