Question

The density of a certain material is such that it weighs 3 pounds for every 2.5 gallons of volume.

express this density in ounces per cubic foot.

Answer 1

The density of 3 pounds per 2.5 gallons converts to approximately 143.64 ounces per cubic foot by using the appropriate conversion factors.

Step-by-step explanation:

To convert the density of a material from pounds per gallon to ounces per cubic foot, it is necessary to use unit conversion factors. The density given is 3 pounds for every 2.5 gallons. To convert pounds to ounces, we use the conversion factor that 1 pound equals 16 ounces. To convert gallons to cubic feet, we can use 1 gallon equals 0.133681 cubic feet.

First, convert the weight from pounds to ounces: 3 pounds × 16 ounces/pound = 48 ounces.

Then, convert the volume from gallons to cubic feet: 2.5 gallons × 0.133681 cubic feet/gallon = 0.3342025 cubic feet.

Finally, calculate the density in ounces per cubic foot: 48 ounces / 0.3342025 cubic feet = 143.64 ounces/cubic foot (rounded to two decimal places).

Therefore, the density of the material is 143.64 ounces per cubic foot.