The density of a certain material is such that it weighs 4 kilograms for every 9 cups
of volume. Express this density in ounces per gallon. Round your answer to the
nearest whole number.

Respuesta :

The value of density is 251 ounces per gallon for the given material.

What is the formula for density?

The formula for the density of certain materials is

density = mass/volume.

The required unit is ounces per gallon.

Where 1 ounce  = 28.35 grams and 1 gallon = 4 quarts

Calculation:

It is given that,

The density of the material is 4 kg per every 9 cups of volume.

Converting into the required units:

1 gallon = 4 quarts

            = 4(2 pints)

            = 8(2 cups)

            = 16 cups

So, for 9 cups, the volume is 9/16 gallons.

1 ounce = 28.35 g

Where 4 kg = 4000g

So, for 4000 g, the weight is 4000/28.35 = 141.0 ounces

Therefore, the required density is

Density = mass/volume

             = 141.0/(9/16) ounces per gallon

             = 250.666 ounces per gallon

             = 251 ounces per gallon

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