A rectangular gasoline tank can hold 45.0 kg of gasoline when full. what is the depth of the tank if it is 0.450 m wide by 0.900 m long?

The answer is 0.154 m

Step 1. Calculate the volume of gasoline tank (V) using the known mass (m) and density of gasoline (D).

D = m/V

⇒ V = m/D

D = 719.7 kg/m³

m = 45.0 kg

V = 45.0 kg/719.7 kg/m³ = 0.0625 m³

Step 2. Calculate the depth of the tank (d) using the known volume (V) of gasoline and width (w) and length (l) of the tank:

V = d * w * l

0.0625 = d * 0.900 * 0.450

0.0625 = d * 0.405

d = 0.0625 / 0.405

d = 0.154 m