To find the mass of the water in the fish tank, we can use the relationship between volume, density, and mass. The formula we use is:
Mass = Density × Volume
First, we need to convert the volume of the water from gallons to milliliters since the density is given in grams per milliliter (g/ml). There are 3,785.41 milliliters in a gallon. Therefore:
Volume in ml = 40 gallons × 3,785.41 ml/gallon = 151,416.4 ml
Now that we have the volume in milliliters, we can apply the density. Given that the density of the water is 1.00 g/ml, we can calculate the mass:
Mass = 1.00 g/ml × 151,416.4 ml = 151,416.4 grams
Finally, to convert grams to kilograms (since there are 1,000 grams in a kilogram), we divide the mass in grams by 1,000:
Mass in kg = 151,416.4 grams ÷ 1,000 = 151.4164 kg
Therefore, the mass of the water in the fish tank is approximately 151.42 kg.