Question

How would I do this?

Answer 1

Answer:

$6.2 g/cm^3$

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:

$m = 0.92 g$

The side length is equal to:

$a = 0.53 cm$

Then we can solve for the volume of this cube as:

$V = a^3$

The density equation becomes:

$d = \frac{m}{V} = \frac{m}{a^3}$

Substitute the given variables:

$d = \frac{0.92 g}{(0.53 cm)^3} = 6.2 g/cm^3$