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When you need to measure the distance between two objects (to install a dishwasher, for instance), the ruler postulate is no only helpful, but necessary.
No. A postulate need not be true.
To measure the mm of an item you would need to use a metric ruler. The metric ruler has cm and mm on it.
You would need a balance to measure its mass. You would need a ruler to measure the length of its sides. Then you would need to calculate volume. Then divide the mass by the volume to get density.
Assuming each ruler is a foot long, then you would need 6 rulers to total 6 feet.