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.
1)How many liters does Jose need to add to the tank to fill it?
2)How many times will Jose need to carry the jug from the sink to the tank?
Wondering if he fills it to the brim?
To answer the first question, we need to calculate the volume of the fish tank in liters. The formula for calculating the volume of a rectangular prism (which is the shape of the tank) is:
Volume = Length x Width x Height
Given that the tank measures 11.8 inches wide, 19.7 inches long, and 15.7 inches deep, we can convert these measurements into centimeters (since most volume calculations are done in centimeters):
11.8 inches = 29.972 cm
19.7 inches = 50.038 cm
15.7 inches = 39.878 cm
Now, we can calculate the volume in cubic centimeters:
Volume = 29.972 cm x 50.038 cm x 39.878 cm
Volume ≈ 60054.98 cm³
Since there are 1000 cm³ in 1 liter, we can convert the volume to liters:
Volume (in liters) = 60054.98 cm³ ÷ 1000
Volume ≈ 60.05 liters
Therefore, Jose needs to add approximately 60.05 liters of water to fill the tank.
To answer the second question, we need to know the capacity of the one-gallon jug Jose is using. Since 1 gallon is approximately equal to 3.785 liters, we can conclude that Jose will need to carry the jug from the sink to the tank multiple times until he reaches the desired volume of 60.05 liters.
To calculate the number of times he needs to carry the jug, we can use the following formula:
Number of jug trips = Total volume / Jug capacity
Number of jug trips = 60.05 liters / 3.785 liters
Number of jug trips ≈ 15.87
So, Jose will need to carry the jug from the sink to the tank approximately 16 times to fill it.