We are asked to calculate the mass of the cube.

Calculate volume:

$\mathbf{V}\mathbf{}\mathbf{=}\mathbf{}{\mathbf{s}}^{\mathbf{3}}\phantom{\rule{0ex}{0ex}}\mathbf{V}\mathbf{}\mathbf{=}{(5.50\mathrm{cm})}^{\mathbf{3}}$

**V = 166.375 cm**^{3}** **

Calculate the mass:

$\overline{){\mathbf{density}}{\mathbf{}}{\mathbf{=}}{\mathbf{}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

To identify a liquid substance, a student determined
its density. Using a graduated cylinder, she measured out
a 45-mL sample of the substance. She then measured the mass of the sample, finding that it weighed 38.5 g. She knew that the substance had to be either isopropyl alcohol (density 0.785 g/mL ) or toluene (density 0.866 g/mL ).

A cubic piece of metal measures 5.50 cm on each edge. If the metal is nickel, whose density is 8.90 g/cm^{3}, what is the mass of the cube?

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects. Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems.