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There is no equivalence.

A cubic centimetre is a measure of volume in 3-dimensional space while the height is a measure of distance in 1-dimensional space. The two measure different things and, according to basic principles of dimensional analysis, conversion from one to the other is not valid without some addition information.

290 cm3 could be in the form of a very tall object with a very thin cross sectional area (for example, a vertical wire), or it could be in the form of a very thin lamina (nearly no height) of a material with a large area.

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