# Chapter 1 - Chemical Foundations - Integrative Problems: 120

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

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