You are given a cube with a length of 2.5 cm, a width of 2.5 cm, and a height of 2.5 cm. You place it on a scale, and its mass is 295 g. What is its density?

Question

8380 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-06-26T01:35:09

The density of the cube is ${18.9 g/cm}^{3}$ $"18.9 g/cm"^3"$ .

Density is mass per unit of volume. The density formula is:

$D = \frac{M}{V}$ $D=M/V$ ,

where:

$D$ $D$ is density, $M$ $M$ is mass, and $V$ $V$ is volume.

You have been given the mass as $295 g$ $"295 g"$ , and you have been given the dimensions of the cube so you can calculate its volume.

For a cube, $V = s^{3}$ $V="s"^3$ . For the cube in the question:

$V = {(2.5 cm)}^{3} = {15.625 cm}^{3}$ $V=("2.5 cm")^3="15.625 cm"^3"$

Now plug in the mass and volume and solve for density.

$D = \frac{295 g}{{15.625 cm}^{3}} = {18.9 g/cm}^{3}$ $D=("295 g")/("15.625 cm"^3)="18.9 g/cm"^3"$ (rounded to three significant figures)