To convert square centimeters (cm^2) to cubic centimeters (cm^3), you need to have a third dimension. Since cm^2 represents area (length x width), you would need to introduce a height or depth to convert it to volume. Without knowing the third dimension, you cannot directly convert 348cm^2 to cm^3.
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No. It may change its weight if weighed at varying depths.
Suppose Y is a variable which is dependent on another variable X. Then the units used for the rate of change in Y, with respect to X, will be the units of Y divided by the units of X. For example, if x is the length of a side of a cube (in cm), and Y is its volume (in cm3), then the rate of change of Y, with respect to X, is measures in cm3/cm.
density = mass / volume = 13 g / 5 cm3 = 2.6 g/cm3
density = mass ÷ volume = 4 g ÷ 6 cm3 = 2/3 g/cm3