The liquid should be scooped at a quarter depth.

or
The liquid should be scooped at a quarter depths.

Which is correct?

I think it depends on what this means. I think it'll be the first sentence, but it's not really clear.

a quarter of the depth of the measuring cup?

a quarter of the depth of the container the liquid is in?

the depth of the size of a US quarter ($.25)?

What?

The liquid is to be scooped at a quarter of the depth of the container holding it is in. Hence the first sentence is correct? Or is there a better way of phrasing?

The correct sentence is: "The liquid should be scooped at a quarter depth."

Explanation: In this sentence, "quarter" is used as an adjective to describe the noun "depth." Adjectives in English do not typically take plural forms, so it remains the same regardless of whether we are talking about one depth or multiple depths. Therefore, we use the singular form "quarter depth" to indicate that the liquid should be scooped to a depth that is one-fourth or a quarter of its total depth.