Will every solid with the same dimensions have the same density?

Answer 1

Absolutely not...

This holds true not only for solids but also for liquids and gases, as the densities of these three phases vary innately based on the constituent materials.

Solids and liquids are largely incompressible materials, and they have more or less constant densities, #rho="mass"/"volume"#.

Gases have variable densities and are compressible.

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Answer 2

Mateo Aguilar

No, not all solids with the same dimensions will have the same density. Density is determined by an object's mass as well as its volume. Materials with the same dimensions can still have different densities because different materials have different masses per unit volume.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.