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The phrase "a box of height" is correct and usable in written English.
It can be used when describing the dimensions or characteristics of a box, particularly its vertical measurement.
Example: "The package arrived in a box of height 12 inches, making it suitable for the items inside."
Alternatives: "a box with a height" or "a box that is tall".
Exact(1)
However, with (e in [-varepsilon, varepsilon ]), the point (y, z) lies within a box of height (2varepsilon) that encloses the graph of the piecewise linear function.
Similar(58)
A cluster member with coordinate estimates may be located at any point within the ellipsis bounded by a box of width and of height.
A box of jewelry?
A box of quackers!
A box of guns).
As described by Bös and colleagues [ 23], the child stood on a wooden box of 30 cm height, 40 cm width and 31 cm depth behind a wooden board.
Each of the three areas consisted of a box without top cover (height 0.3 m, depth 0.22 m, width 0.3 m) placed on a 0.9 m high pedestal allowing convenient handling of the blocks.
A box-plot of sitting height by clinic from this download confirmed that measurements were more consistent across clinics (not shown).
The mice were kept in a small box of ∼2 cm internal height during treatment.
Even in a shallow box of five or so inches, a height that they could easily scale, they do not escape.
The offset of these letters was followed by a 1000-ms presentatiof of a white box subtending 9° (height)×11° (width) at the center of the screen.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com