Sum

The volume of a plastic covered sealed box is 350 cm^{3} and the box has a mass 500 g. Will the box float on water or sink in water? what will be the mass of water displaced by the box?

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#### Solution

Given:

Volume of box = 350 cm^{3}

Mass of box = 500 g

Density of object = `"Mass of Object"/"Volume of Object" = 500/350` = 1.43 g/ cm^{3}

Now, we know density of water = 1 g/cm^{3}

Since, density of box > density of water, therefore the object is going to sink in water.

Now, volume of liquid displaced = Volume of the object = 350 cm^{3}

⇒ `"Mass of liquid displaced"/"Density of liquid displaced" = 350 "cm"^3`

⇒ Mass of liquid = 350 × 1 = 350 g

Concept: Archemedes Principle

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