Arectangular gasoline tank can hold 36.0 kg of gasoline when full. what is the depth of the tank (in m) if it is 0.450 m wide by 0.900 m long? m (b) what is the volume of the tank (in gal)? (it is suitable for a passenger car.) gal

Let h =  depth of the rectangular tank.
Its volume is
V = (0.450 m)*(0.900 m)*(h m)
   = 0.405h m³

The density of gasoline is about 0.77 kg/L = 719.7 kg/m³.
Because the mass of gasoline is given as  36.0 kg, its volume is
V = (36.0 kg)/(719.7 kg/m³)
    = 0.05 m³

Therefore,
0.405h = 0.05
          h = 0.1235 m 

The capacity of the tank in gallons is
(36 kg)/(0.77 kg/L) = 46.75 L
Because 1 L = 0.264 gal, the capacity is
(46.75 L)/(1/0.264 L/gal) = 177.1 gal.
A typical passenger can hold between 12 and 17 gallons, so this tank is too large.

The depth is 0.1235 m.
The volume is 0.05 m³.
The tank is too large for a passenger car.

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