Question

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.

Answer 1

To determine the number of pounds of water in the fish tank, convert the volume of water from gallons to milliliters and calculate the mass of the water using its density.

Step-by-step explanation:

To determine the number of pounds of water in the fish tank, we need to convert the volume of water from gallons to milliliters, and then calculate the mass of the water using its density.

First, we convert 37 gallons to milliliters using the conversion factor: 1 gallon = 3785.41 mL. So, 37 gallons = 37 x 3785.41 mL = 140,102.17 mL.

Next, we calculate the mass of the water using its density of 1.00 g/mL. The mass of water can be calculated using the formula: mass = density x volume. Therefore, mass = 1.00 g/mL x 140,102.17 mL = 140,102.17 g.

Finally, to convert the mass from grams to pounds, we divide by the conversion factor: 1 pound = 453.592 g. So, the number of pounds of water in the fish tank is: 140,102.17 g ÷ 453.592 g/pound = 308.8865 pounds.