Question

question
the density of a certain material is such that it weighs 9 kilograms for every 10 quarts of volume. express this density in ounces per cubic foot. round your answer to the nearest whole number.
*note: you must use these exact conversion factors to get this question right.
weight / mass\tvolume
1 pound (lb) = 16 ounces (oz)\t1 cup (cup) = 8 fluid ounces (fl oz)
1 ton (ton) = 2000 pounds (lb)\t1 pint (pt) = 2 cups (cups)
1 gram (g) = 1000 milligrams (mg)\t1 quart (qt) = 2 pints (pt)
1 kilogram (kg) = 1000 grams (g)\t1 gallon (gal) = 4 quarts (qt)
1 ounce (oz) = 28.35 grams (g)\t1 cubic foot (ft³) = 7.481 gallons (gal)
1 pound (lb) = 0.454 kilograms (kg)\t1 liter (l) = 1000 milliliters (ml)
\t1 cubic meter (m³) = 1000 liters (l)
\t1 gallon (gal) = 3.785 liters (l)
\t1 fluid ounce (fl oz) = 29.574 milliliters (ml)

Explanation:

Step1: Convert kilograms to ounces

$9\text{ kg}\times\frac{1000\text{ g}}{1\text{ kg}}\times\frac{1\text{ oz}}{28.35\text{ g}}\approx317.46\text{ oz}$

Step2: Convert quarts to cubic - feet

$10\text{ qt}\times\frac{1\text{ gal}}{4\text{ qt}}\times\frac{1\text{ ft}^3}{7.481\text{ gal}}\approx0.334\text{ ft}^3$

Step3: Calculate density

$\text{Density}=\frac{317.46\text{ oz}}{0.334\text{ ft}^3}\approx950\text{ oz/ft}^3$

Answer:

950