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

1 Answer
Aug 6, 2016

Answer:

The foam material has a density of #(10.9 "lb")/(ft^(3")#

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# #1ft^(3) = 28.3168 "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"pounds"#

#color (purple) ("Step 2:"#

# 1 cancel"L"xx(1ft^(3))/(28.3168cancel"L")# # = 0.03531 ft^(3)#

#color (red) ("Step 3:"#

#(0.3858 "pounds")/(0.03531ft^(3)"# #= (10.9 "pounds")/(ft^(3")#