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Linear is "in a line" so linear measurements are length.
British linear measurement is feet and inches
A perimeter is a linear measurement. An area is the product of two linear measurements, such as length and width. I cannot imagine what you mean by "perimeter area."
You can not equate volumetric measurements with linear measurements. Assuming you mean how many cubic inches in a cubic meter...1 (cubic meter) = 61 023.7441 cubic inches
It is usually a linear measure in the vertical direction, measured downwards. If measured upwards, the same measure could be called a height.