5.2 cm of a metal is found to weigh 46.6 g on a three decimal balance. what is the density of the metal, expressed to the proper number of significant figures? 9 g/cm [2] 9.0 g/cm 8.96 g/cm 0.11 g/cm [5] 0.112 g/cm

option [3] 8.96 g/cm³

Explanation:

Given;

Volume of the metal = 5.2 cm³

Weight of the metal = 46.6 g

Now,

the relation between the density, mass and volume is given as;

Density =  Mass / volume

on substituting the respective values, we get

Density = 46.6 / 5.2

or

Density = 8.96 g/cm³

Hence, the correct answer is option [3] 8.96 g/cm³