Question

One type of lubricating oil weighs approximately 52 pounds per cubic foot, or 7 pounds per gallon. a 42-gallon barrel will hold approximately how many cubic feet of such oil?

Answer 1

42 gallons weigh 7(42) or 294 pounds

each cubic foot weighs 52 pounds
so the number of cubic feet = 294/52 = 5.654 ft^3

Answer 2

Barrel will contain 5.65 cubic feet of oil.

Explanation:

A 42 gallon barrel will contain lubricating oil = 42 gallons

Now we will convert this volume of lubricating oil into pounds first.

∵ 1 gallon oil weighs = 7 pounds [ given ]

∴ 42 gallons oil will weigh = 7×42 = 294 pounds

Now we will find the volume of oil in cubic feet.

∵ 52 pounds of oil has the volume = 1 cubic feet

∴ 1 pound of the oil will have the volume =
`(1)/(52)` cubic feet.

∴ 294 pounds of oil will have the volume =
`(294)/(52)=5.65` cubic feet.

Therefore, barrel will contain 5.65 cubic feet of the oil.