Prepositions with nouns

Capacity with prepositions

Capacity appears in several fixed expressions. To capacity is common after verbs such as fill or packed, while of capacity usually belongs to larger noun phrases.

Quick answer

When do we use to capacity?

Use to capacity in expressions such as filled to capacity or operating to capacity. Of capacity is not usually a standalone pattern, but it appears in phrases like the limits of capacity.

The stadium was packed to capacity.
The factory is operating at full capacity.
The limits of capacity became clear during the crisis.

Choose the pattern by meaning

These forms are not interchangeable. Choose the construction by meaning, not by which preposition appears most often.

1
to capacity

Showing the maximum limit

Use to capacity after verbs such as fill, pack, or load.

The hall was filled to capacity before noon.
2
at capacity

Showing a full operating level

Use at capacity for businesses, hospitals, or venues working at their limit.

The hotel is operating at capacity this weekend.
3
of capacity

Describing relation to capacity

Of capacity normally appears in larger noun phrases.

The expansion increased the overall capacity of the network.
4
capacity for + activity

Showing ability or room for something

Use for to describe ability, space, or potential.

She has a strong capacity for problem-solving.

See the difference in context

The same subject can take different constructions because each sentence answers a different question.

Construction
Example
Meaning
to capacity
The arena was packed to capacity.
Correct for reaching the maximum limit.
at capacity
The hospital is at capacity.
Correct for operating at the maximum level.
of capacity
The lack of capacity caused delays.
Natural only inside a larger noun phrase.
capacity for
The system has capacity for growth.
Shows ability, space, or potential.

Common mistakes

Some combinations appear in real text but do not mean what learners often assume.

Using of capacity alone

This combination usually needs a larger phrase.

✕ The room was of capacity. ✓ The room was filled to capacity.

Confusing at capacity and to capacity

At capacity describes a state; to capacity describes a limit reached.

✕ The train was at capacity with passengers standing everywhere. ✓ The train was filled to capacity with passengers standing everywhere.

Missing an article with full capacity

Full capacity usually follows at.

✕ The factory runs full capacity. ✓ The factory runs at full capacity.

Quick practice

Choose the expression that matches the intended meaning.

1. The theatre was packed ___ capacity.
2. The clinic is operating ___ capacity.
3. The system has enough capacity ___ future growth.

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Frequently asked questions

What does to capacity mean?

It means completely full or operating at the maximum limit.

Is of capacity a standard phrase?

Not by itself. It usually appears inside a larger phrase such as lack of capacity.

What is the difference between at capacity and to capacity?

At capacity describes a condition, while to capacity describes reaching the limit.

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