Filling a Fish Tank, The problem you must solve is posted in the Explanation

label Algebra
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

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
How many liters does Jose need to add to the tank to fill it?
How many times will Jose need to carry the jug from the sink to the tank?
Oct 23rd, 2015

Thank you for the opportunity to help you with your question!

1 inch = 2.54 centimetres


i. measurements of the tank = 29.972 centimetres wide, 50.038 cm long, and 39.878 cm deep

ii. volume of the tank = 29.972 cm * 50.038 * 39.878 cm

                                   =59806.59 cm

half the volume of the tank = 59806.59 cubic centimetre /2

                                           =29903.30 cubic centimetres

1 cubic cm = 0.001 litres

Therefore Jose need to add 29.9033liters to the tank to fill it

iii. 1 gallon = 3.78541litres

therefore 29.9033liters/3.78541litres = 7.9

= 8 times

So Jose need to carry the jug from the sink to the tank 8 times

Please let me know if you need any clarification. I'm always happy to answer your questions.
Oct 23rd, 2015

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