The volume of a 500 g sealed packet is 350 cm³. Will the packet float or sink in water if the density of water is 1 g cm^-3? What will be the mass of the water displaced by this packet?

Given,

Volume of sealed packet = 350 cm³

Mass of sealed packet = 500 g

Density of water = 1 gcm^-3

Density of the sealed packet = ?

Density = $\dfrac{\text{Mass}}{\text{Volume}}$ = $\dfrac{500}{350}$ = 1.42 gcm^-3

As density of the packet is greater than density of water. Hence, the sealed packet will sink.

According to Archimedes Principle,

Displaced water volume = Volume of packet

Volume of water displaced = 350 cm³

Mass of water displaced = ρ x V = 1 × 350 = 350 g

Hence, mass of displaced water = 350 g