Answer:
[tex]6.2 g/cm^3[/tex]
Explanation:
The following strategy can be applied:
- start with the aim: we need to find the density of the material. Density is defined as the ratio between mass and volume;
- we're given mass;
- we're missing volume;
- however, we know that the volume of a cube is equal to the cube of its side length.
All in all, we then obtain the following variables. Mass is equal to:
[tex]m = 0.92 g[/tex]
The side length is equal to:
[tex]a = 0.53 cm[/tex]
Then we can solve for the volume of this cube as:
[tex]V = a^3[/tex]
The density equation becomes:
[tex]d = \frac{m}{V} = \frac{m}{a^3}[/tex]
Substitute the given variables:
[tex]d = \frac{0.92 g}{(0.53 cm)^3} = 6.2 g/cm^3[/tex]
