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A graduated cylinder would be the best piece of laboratory equipment to measure a 350 ml of water. It is designed with volume markings and is specifically used for accurate measurements of liquids.
A Graduated Cylinder
The answer depends on what characteristic you wish to measure: its mass, length, volume etc.
The volume of the piece of metal is measured by the difference in the volume of water in the graduated cylinder before and after the piece of metal is placed in the cylinder. This is stated to be 36 - 20 = 16 mL. Density is defined to be mass per unit volume. Therefore, for this piece of metal the density is 163/16 = 10 g/mL. (Only two significant digits are justified, because the is the number of significant digits in the limiting datum 16.)
The answer depends on the size of the cube: it could be a micrometre, vernier callipers, a ruler, a tape measure.