Wir nutzen den Würfelbecher für den Würfelwurf.

Because nutzen takes a direct object, and direct objects are in the accusative case.

• Dictionary form: der Würfelbecher
• Accusative form: den Würfelbecher

So:

• der Würfelbecher = the dice cup as a basic dictionary form
• Wir nutzen den Würfelbecher = We use the dice cup

Since Würfelbecher is masculine, der changes to den in the accusative.

Because the preposition für always takes the accusative case.

So:

• der Würfelwurf = dictionary form
• für den Würfelwurf = after für, it must be accusative

This is not because Würfelwurf is the direct object of the verb. It is because für requires accusative all by itself.

It means something like for the dice roll or for rolling the die/dice.

Here für expresses purpose or intended use:

• Wir nutzen den Würfelbecher für den Würfelwurf.
• We use the dice cup for the dice roll.

In more natural English, you might say to roll the dice. German often uses a noun phrase like für den Würfelwurf where English might prefer an infinitive.

They are both compound nouns, which are very common in German.

• Würfelbecher = Würfel

  • Becher
  • Würfel = die / dice / cube
  • Becher = cup
  • so: dice cup

• Würfelwurf = Würfel

  • Wurf
  • Wurf = throw
  • so: dice throw or dice roll

German often builds vocabulary this way by combining smaller nouns into one larger noun.

Because standard German usually writes compound nouns as one single word.

So German writes:

• Würfelbecher
• Würfelwurf

not separate words like:

• Würfel Becher
• Würfel Wurf

This is normal and very important in German spelling. English often leaves compound words open or hyphenated, but German much more often joins them together.

It can mean all of those, depending on context.

• der Würfel = a cube / a die
• die Würfel = dice

In gaming context, Würfel often refers to dice. In a compound like Würfelbecher, it clearly means a cup used for dice. In Würfelwurf, it means the act of rolling or throwing dice.

So the exact English translation depends on the situation.

Yes, English often uses dice as a plural idea, but German does not always match English word-for-word.

In this sentence:

• den Würfelbecher is singular because it is one cup
• den Würfelwurf is singular because it refers to the act of a roll as one event or as a general action

German can use the singular to talk about an activity in a general way. English might choose for rolling the dice, even though German says für den Würfelwurf.

Yes. Benutzen would work very well here.

• Wir nutzen den Würfelbecher für den Würfelwurf.
• Wir benutzen den Würfelbecher für den Würfelwurf.

Both mean We use the dice cup for the dice roll.

A small nuance:

• benutzen is a very common everyday word for use
• nutzen can sound a little more like make use of or utilize, though in many contexts they overlap

In this sentence, both are natural.

This is a normal German main clause:

1. Wir = subject
2. nutzen = conjugated verb in second position
3. den Würfelbecher = direct object
4. für den Würfelwurf = prepositional phrase showing purpose

German main clauses usually place the finite verb in second position. The rest of the sentence is fairly flexible, especially adverbial and prepositional phrases.

For example, you could also say:

• Für den Würfelwurf nutzen wir den Würfelbecher.

That version puts more emphasis on for the dice roll.

Because the sentence uses the definite article: the dice cup, the dice roll.

• den Würfelbecher = the dice cup
• einen Würfelbecher = a dice cup

Using den suggests that the speaker means a specific or known item, or is speaking generically about the standard item used in this situation. If you wanted to introduce it as just one example, you could say:

• Wir nutzen einen Würfelbecher für den Würfelwurf.

That would mean We use a dice cup for the roll.

The hardest part for many English speakers is ü.

A rough guide:

• Würfel sounds approximately like VYUR-fel, but that is only approximate
• the W in German sounds like English v
• the ü has no exact English equivalent

A useful trick for ü:

1. Say ee as in see
2. Keep your tongue in that position
3. Round your lips

That gives you something close to German ü.

Also note:

• Würfel begins with a German W sound = v
• so it is not pronounced like English wur-

Both nouns in this sentence are in the accusative.

• den Würfelbecher: accusative because it is the direct object of nutzen
• den Würfelwurf: accusative because it follows für

You can tell most clearly from the article den, which is the masculine accusative form of der.

The dictionary forms are:

• der Würfelbecher
• der Würfelwurf

In this sentence, both become den because both are masculine singular accusative.