A fishtank with inside dimensions of 30.5 cm X 61 cm X 30.5 cm is filled with water. What is the volume in cm3 of water required? What is the mass in grams of the water required? What is the mass in kilograms?

The fishtank above measures 1 ft X 2 ft X 1 ft in English dimensional units. If water weights 62.4 lbs/ft3, what is the weight in lbs of the water filling the tank?

The second qustion:

weight= volume*density=2ft^3 * 62.4lbs/ft^3

To find the volume of water required to fill the fishtank, you need to multiply its dimensions together. In this case, the dimensions are given as 30.5 cm X 61 cm X 30.5 cm.

To find the volume in cm^3, you multiply these three dimensions:

Volume = length X width X height

Therefore, Volume = 30.5 cm X 61 cm X 30.5 cm = 57,144.25 cm^3

To find the mass of the water required, you need to know the density of water. The density of water is approximately 1 g/cm^3.

Therefore, the mass of the water in grams will be equal to the volume of water in cubic centimeters:

Mass (in grams) = Volume (in cubic centimeters) = 57,144.25 grams

To convert the mass of water from grams to kilograms, you divide by 1000:

Mass (in kilograms) = 57,144.25 grams / 1000 = 57.14425 kilograms

Now, to calculate the weight of the water filling the tank in pounds, you need to know the density of water in pounds per cubic foot, which is given as 62.4 lbs/ft^3.

First, convert the volume of the water in cubic centimeters to cubic feet. Since there are 2.54 cm in an inch and 12 inches in a foot, we can use the conversion factor:

Volume (in cubic feet) = (Volume in cm^3) / (2.54 cm/inch)^3 / (12 inches/foot)^3

Volume (in cubic feet) = 57,144.25 cm^3 / 2.54^3 / 12^3 = 2.013 cubic feet (approximately)

Next, calculate the weight in pounds:

Weight (in pounds) = Volume (in cubic feet) X Density (in pounds per cubic foot)

Weight (in pounds) = 2.013 cubic feet X 62.4 lbs/ft^3 = 125.7 pounds (approximately)

Therefore, the weight of the water filling the tank is approximately 125.7 pounds.