Final answer:
The volume of 1 drop in cubic inches is 0.81935 cubic inches. The total volume of 10 drops in cubic centimeters is 0.5 cubic centimeters. The conversion factor from drops to milliliters is 1 ml per 20 drops. The density of drops in cubic miles is 50 cubic miles per drop.
Step-by-step explanation:
a) To find the volume of 1 drop in cubic inches, we need to convert 1 ml to cubic inches. There are 16.387 cubic inches in 1 ml, so 1 drop is equal to:
1 ml / 20 drops = 0.05 ml per drop
0.05 ml * 16.387 cubic inches/ml = 0.81935 cubic inches per drop
b) To calculate the total volume of 10 drops in cubic centimeters, we need to convert 10 drops to ml and then to cubic centimeters. 10 drops equal:
10 drops * 1 ml/20 drops = 0.5 ml
0.5 ml * 1 cubic centimeter/ml = 0.5 cubic centimeters
c) The conversion factor from drops to milliliters is 1 ml per 20 drops.
d) To identify the density of drops in cubic miles, we need to convert drops to ml and then to cubic miles. The density is the volume (ml) of 1 drop in cubic miles. From part a, we know that 1 drop is equal to 0.05 ml. Now we need to convert ml to cubic miles:
0.05 ml * 1 cubic mile/0.001 ml = 50 cubic miles per drop