# Question #0aa82

Jun 12, 2017

${\text{Density" = 1.1 g/"cm}}^{3}$

#### Explanation:

The first thing I like to do is write down the important information and what I'm trying to find
length = 3 cm
width = 6 cm
height = 4 cm
mass = 80.0
Density = ??

Then I find the formula I need
The formula for density is
$\text{Density" = "Mass"/"Volume}$

Do we have what we need? We have mass, but we don't have volume.
Can we use the information to find volume? Yes - if we multiply the length, width, and height together we can get the volume.

so $\text{Volume" = "length" xx "width" xx" height}$

Plug in what you know

$\text{Volume} = 3 c m \times 6 c m \times 4 c m = 72 c {m}^{3}$

now that you know volume in your density formula
$\text{Density} = \frac{80}{72}$ which is 1.1111111111 (repeating)

Going back to your questions to figure out how many digits your answers needs - since the smallest amount of digits is 2 (in 3.0) your answer should have two digits

${\text{Density" = 1.1 g/"cm}}^{3}$