Final answer:
The crate's density in kilometers per cubic meter is 2.76425 kg/km³.
Step-by-step explanation:
The density of the crate of medicine is given as 167 pounds per cubic foot. To convert this density into kilometers per cubic meter, we need to use conversion factors. One foot is equal to 0.3048 meters, and one pound is equal to 0.4536 kilograms. Therefore, the crate's density in kilograms per cubic meter is:
167 pounds/ft³ x (0.4536 kg/1 pound) x (0.3048 m/1 ft)³ = 2764.25 kg/m³
Now that we have the density in kilograms per cubic meter, we can convert it to kilometers per cubic meter. One kilometer is equal to 1000 meters, so:
2764.25 kg/m³ x (1 km/1000 m)³ = 2.76425 kg/km³