Call

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)$

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

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