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Question

Why density is a scalar quantity?


Solution

First of all understand that, Vector quantities need magnitude and direction to specify it.where as scalar quantities need only magnitude to specify it.

Ask yourself if this sentence makes sense: “The density of this block is 6 g/ml(specifying magnitude) to the right(specifying direction).”

It does not make much sense to me.there is no need of specifying direction in it.density of a block is through out the block will be constant.

The other thing to think about, neither mass nor distance (remember - distance, not displacement) are vectors. Density is mass by volume. Volume is length×breadth×height. Wr know length,breadth,height,  are scalars.
Since density is a derived measurement and since it is derived from all scalar measurements, density is a scalar measurement.

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