Jose has a fish tank that measures 11.8 inches wide, 19.7 inches long, and 15.7 inches deep. He empties it halfway to clean it. To refill it when he is done, he will fill a one-gallon jug in the sink and carry it to the tank, pour it in, and then return to the sink again.
Convert the dimensions of the tank to centimeters. Round all measurements to the nearest whole centimeter.
How many liters does Jose need to add to the tank to fill it? (Reminder: 1 liter = 1000 cubic centimeters)
How many times will Jose need to carry the jug from the sink to the tank?
rather than convert each dimension, let's just convert in^3 to cm^3 at the end:
11.8*19.7*15.7 * 2.54^3 cm^3
Note that he holy has to fill 1/2 the tank.
Now you know how many liters, just convert that to gallons to find how many trips it will take.
of course, this is a stupid question, since the tank and the jug are in gallons, who cares how many liters it is?
1 gallon = 231 in^3
3.10998E14
To convert the dimensions of the fish tank from inches to centimeters, you can use the conversion factor of 2.54 centimeters per inch. Simply multiply each dimension by 2.54 to get the equivalent measurement in centimeters.
Width:
11.8 inches * 2.54 centimeters/inch = 29.972 centimeters ≈ 30 centimeters
Length:
19.7 inches * 2.54 centimeters/inch = 50.038 centimeters ≈ 50 centimeters
Depth:
15.7 inches * 2.54 centimeters/inch = 39.878 centimeters ≈ 40 centimeters
Now let's calculate the volume of the tank, which is the amount of space it can hold. The volume of a rectangular prism (like a fish tank) can be found by multiplying its length, width, and depth.
Volume of the tank = Width * Length * Depth
= 30 cm * 50 cm * 40 cm
= 60,000 cubic centimeters
Since Jose empties the tank halfway to clean it, he needs to add water to fill half of the tank's volume.
Volume to fill = 1/2 * 60,000 cubic centimeters
= 30,000 cubic centimeters
Now, let's convert the volume from cubic centimeters to liters. We know that 1 liter is equal to 1000 cubic centimeters.
Volume in liters = Volume in cubic centimeters / 1000
= 30,000 cubic centimeters / 1000
= 30 liters
Therefore, Jose needs to add 30 liters of water to fill the tank.
To determine how many times Jose needs to carry the jug from the sink to the tank, we need to know the capacity of the jug. The question mentions that Jose uses a one-gallon jug.
1 gallon ≈ 3.785 liters
Number of times to carry the jug = Volume in liters / Capacity of the jug in liters
= 30 liters / 3.785 liters
≈ 7.93 times
Since carrying the jug a fraction of a time doesn't make sense, we should round up the number of times.
Jose will need to carry the jug from the sink to the tank approximately 8 times.