A rectangular gasoline tank can hold 44.0 kg of gasoline when full. What is the depth of the tank if it is 0.400 m wide by 0.900 m long?

To find the depth of the tank, we need to use the formula for volume and rearrange it to find the depth. The formula for volume of a rectangular prism is:

Volume = length × width × depth

Given that the tank can hold 44.0 kg of gasoline when full, we need to convert this mass measurement into volume. To do this, we need to know the density of gasoline, which is approximately 0.74 kg/L.

Using the density of gasoline, we can calculate the volume of gasoline in liters:

Volume (in liters) = mass (in kg) / density (in kg/L)
Volume (in liters) = 44.0 kg / 0.74 kg/L
Volume (in liters) ≈ 59.46 L

Now we have the volume of the gasoline. We can use the formula for volume to find the depth of the tank:

Volume = length × width × depth

Rearranging the formula to solve for depth:

Depth = Volume / (length × width)

Substituting the given values:

Depth = 59.46 L / (0.900 m × 0.400 m)
Depth ≈ 165.17 L/m²

Therefore, the depth of the tank is approximately 165.17 L/m².

what is the volume of 44.0 kg of gasoline? If you don't know the density of gas, there's no way to find the size of the tank.

If the volume is v, then the needed depth d is found by solving for d in

(.400)(.900)(d) = v