# A foam material has a density of 175 g/L. What is its density in units of lb/ft^3?

Aug 6, 2016

The foam material has a density of $\left(10.9 \text{lb")/(ft^(3}\right)$

#### Explanation:

Let's break the answer down into three parts:

color (brown) ("First," we're going to convert grams to pounds using this conversion factor:
color(white)(aaaaaaaaaaaaaaaaa 1 pound = 453.592 grams

color (purple) ("Then," we're going to convert liters to cubic feet using the relationship below:
color(white)(aaaaaaaaaaaaaaaaa $1 f {t}^{3} = 28.3168 \text{Liters}$

color (red) ("Finally," we are going to divide the value that we get in grams by the value that we get in liters to obtain the density.

color (brown) ("Step 1:"

 175 cancel"grams"xx("1 pound"/("453.592"cancel"grams")) = $0.3858 \text{pounds}$

color (purple) ("Step 2:"

 1 cancel"L"xx(1ft^(3))/(28.3168cancel"L") $= 0.03531 f {t}^{3}$

color (red) ("Step 3:"

(0.3858 "pounds")/(0.03531ft^(3)" $= \left(10.9 \text{pounds")/(ft^(3}\right)$