Question

the density of a certain material is such that it weighs 2 ounces for every 6.5 milliliters of volume. express this density in grams per fluid ounce. 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 ounces to grams

We know 1 ounce ($\text{oz}$) = 28.35 grams ($\text{g}$), so 2 ounces is $2\times28.35 = 56.7$ grams.

Step2: Convert milliliters to fluid - ounces

We know 1 fluid ounce ($\text{fl oz}$)=29.574 milliliters ($\text{mL}$), so for 6.5 milliliters, the volume in fluid - ounces is $\frac{6.5}{29.574}\text{ fl oz}$.

Step3: Calculate the density

Density $d=\frac{\text{mass}}{\text{volume}}$. Substituting the values, $d = \frac{56.7}{\frac{6.5}{29.574}}$.
First, calculate $\frac{56.7}{\frac{6.5}{29.574}}=56.7\times\frac{29.574}{6.5}$.
$56.7\times\frac{29.574}{6.5}=\frac{56.7\times29.574}{6.5}=\frac{1676.8458}{6.5}\approx258$.

Answer:

258