Question

A 13.0 kg iron weightlifting plate has a volume of 1650 cm3 . What is the density of the iron plate in g/cm3?

Answer 1

11.0 kg = (11.0 kg)(1000 g/kg) = 11000 g
(11000 g)/(1400 cm3) = 7.857 g/cm3
Simplified = 7.86 g/cm3

Answer 2

Explanation:

It is known that density is the amount of mass divided by volume.

Mathematically,     Density = $\frac{mass}{volume}$

It is given that mass is 13.0 kg or 13000 g (as 1 kg = 1000 g). And, volume is 1650 $cm^{3}$.

Therefore, calculate the density as follows.

                    Density = $\frac{mass}{volume}$

                                 = $\frac{13000 g}{1650 cm^{3}}$    

                                 = $7.87 g/cm^{3}$

Thus, we can conclude that density of the given iron plate is $7.87 g/cm^{3}$.