A rectangular 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.

Answer:

The depth is 0.1235 m.

The volume is 0.05 m³.

The tank is too large for a passenger car.