Question

the density of a certain material is such that it weighs 5 pounds for every 3.5 quarts of volume. express this density in tons per cubic foot. round your answer to the nearest hundredth.
*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) =

Explanation:

Step1: Convert pounds to tons

We know that 1 ton = 2000 pounds. Given a weight of 5 pounds, the weight in tons is $5\div2000=\frac{5}{2000}= 0.0025$ tons.

Step2: Convert quarts to cubic - feet

First, since 1 gallon = 4 quarts, then 3.5 quarts is $\frac{3.5}{4}=0.875$ gallons.
Then, since 1 cubic - foot = 7.481 gallons, the volume in cubic - feet is $0.875\div7.481=\frac{0.875}{7.481}\approx0.117$.

Step3: Calculate the density

Density $
ho=\frac{\text{mass}}{\text{volume}}$. Substituting the values of mass in tons and volume in cubic - feet, we get $
ho=\frac{0.0025}{0.117}\approx0.02$ tons per cubic foot.

Answer:

0.02