A block of iron has the dimensions of 3.00 cm x 3.00 cm x 3.00 cm. It has a mass of 213 g. Water has a density of 1.00 g/cm3. Will it sink in water?

A). Yes
B). No

Respuesta :

hrrs01
You find the density like this:

213/3^3 = 7.8889 g/cm^3

Yes it will sink, as 7.8889 > 1

Answer: Yes it will sink.

Explanation

[tex]Density= \frac{mass}{volume}[/tex]

If the density of  a substance in less than of the another substance then the substance with less density will float in substance with higher density or vice versa.

Density of iron block:

mass of iron = 213 g

Volume of block = length× breadth×height= [tex]{3.00 cm\times 3.00 cm\times 3.00 cm}[/tex]

[tex]\rho_{iron}=\frac{mass}{volume}=\frac{213 g}{3.00 cm\times 3.00 cm\times 3.00 cm}=7.8 g/cm^3[/tex]

Density of the water = [tex]\rho_{water}=1.00g/cm^3[/tex]

The [tex]\rho_{iron}>\rho_{water}[/tex], density of iron block is more than of the water which means that iron block will get sink in the water.

So, yes it will sink.