Question

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

Explanation:

Step1: Convert pounds to ounces

Since 1 pound = 16 ounces, and the material weighs 8 pounds per cup, then it weighs $8\times16 = 128$ ounces per cup.

Step2: Convert cups to gallons

We know that 1 pint = 2 cups, 1 quart = 2 pints and 1 gallon = 4 quarts. So 1 gallon=$4\times2\times2 = 16$ cups.

Step3: Calculate density in ounces per gallon

If there are 128 ounces per cup and 16 cups per gallon, then the density in ounces per gallon is $128\times16=2048$ ounces per gallon.

Answer:

2048