Calculating Gasoline Tank Depth and Volume

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To calculate the depth of a rectangular gasoline tank that holds 39.0 kg of gasoline, the density of gasoline is crucial, with common values ranging from 719.7 kg/m³ to 755 kg/m³. The initial calculation for depth was assumed to be 0.1338 m, but this was found to be incorrect due to potential variations in density. The volume of the tank can be determined using the formula volume = length x width x height, but accurate density is essential for correct results. The discussion highlights the importance of verifying the density value used in calculations, as it can significantly affect the outcome. Clarification with the professor is recommended to ensure the correct density is applied.
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Homework Statement


(a) A rectangular gasoline tank can hold 39.0 kg of gasoline when full. What is the depth of the tank if it is 0.450 m wide by 0.900 m long?
m
(b) What is the volume of the tank? (It is suitable for a passenger car.)
gal

Homework Equations


Density of gas=719.7=mass/volume
Volume=lengthxwidthxheight
density=mass/volume
density=mass/ (lengthxwidthxheight)

The Attempt at a Solution


I assumed depth was referring to the height, which might be what I'm doing wrong.
719.7=39/ (.45 x .9 x h)
height=.1338m
And then I would convert the volume (.45 x .9m x .1338m) to gallons using (1 gal=.003785 m3)

This seems fairly straight forward, but for some reason this answer is wrong. Please help!
Thanks
 
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You work looks correct to me. What did you get for the number of gallons?
 
The depth of .1338m was incorrect, so I knew the volume would be and didn't do the calculation. I've checked my math, and I still get .1338m
 
The density of gasoline can vary. Were you given a particular value for the density?
 
No, no value was given. I googled this value.
 
Are you using a textbook that has a table of densities?
 
No, I just searched through the textbook and I do not see table of densities.
 
OK. Although Wikipedia gives 719.7 kg/m3, they also state, "Finished marketable gasoline is traded with a standard reference of 0.755 kg/L", which is 755 kg/m3. Several other sites give values between 730 and 750 kg/m3. So, it's hard to say what value you should use.
 
Thank you-I am going to clarify with professor
 

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