#### Question

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?

#### 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

Is there an error in this question or solution?

Solution The Volume of a Plastic Covered Sealed Box is 350 Cm3 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? Concept: Archemedes Principle.