Answer
Density = $22.61$ $\frac{g}{cm^{3}}$
Mass = $16279.2$ grams
Work Step by Step
Density in $\frac{kg}{m^{3}}$ = 22610.
1 $\frac{kg}{m^{3}}$ = $\frac{1000g}{(100cm)^{3}}$ = $\frac{1000g}{100000 cm^{3}}$ = $\frac{1g}{1000cm^{3}}$
Thus, 1000$\frac{kg}{m^{3}}$ = $\frac{1g}{cm^{3}}$
So, 22610 $\frac{kg}{m^{3}}$ = $\frac{22610g}{1000 cm^{3}}$
= 22.61 $\frac{g}{cm^{3}}$
Now, dimensions are 10 cm $\times$ 8 cm $\times$ 9 cm
Hence volume = (10 $\times$ 8 $\times$ 9) $cm^{3}$ = 720 $cm^{3}$
Since Density = $\frac{Mass}{Volume}$
Hence Mass = Density $\times$ Volume = 22.61 $\times$ 720 = $16279.2$ grams
