A fish tank holds 37 gal of water. Using the density of 1.00 g/mL for water, determine the number of pounds of water in the fish tank.

Respuesta :

Answer:

308.78lb

Explanation:

Volume of water in the tank = 37gal

Density of water = 1.00g/mL

Unknown:

mass of water in  the fish tank =?

Solution:

Density can be defined as the mass per unit volume of a substance. It is mathematically expressed as shown below:

                Density =  [tex]\frac{mass}{volume}[/tex]

Mass of water in the fish tank = density x volume

Now we have to convert the units into that which we can work with:

 37gal to mL gives:

    1 gal = 3785.41 ml

     37 gal = 37 x 3785.41; 140060.17ml

mass of water = 1.00 g/mL x 140060.17ml = 140060.17g

Since our answer must be in pounds, we must convert grams to pounds:

        1 grams = 0.00220462 pounds

    140060.17g = 0.00220462 x 140060.17: 308.78lb