To determine how long it will take to fill this petrol tank, we need to calculate the tank's volume and then use the fill rate to find the time required.

Step 1: Calculate the Volume of the Tank

The dimensions of the tank are given as:

• Length ($L$) = 24 cm
• Width ($W$) = 40 cm
• Height ($H$) = 60 cm

The volume $V$ of a rectangular tank is calculated by: $V = L \times W \times H$ Substituting the values: $V = 24 \, \text{cm} \times 40 \, \text{cm} \times 60 \, \text{cm} = 57600 \, \text{cm}^3$

Step 2: Convert Volume from Cubic Centimeters to Liters

Since 1 liter = 1000 cubic centimeters (cm³), we convert the volume to liters: $V = \frac{57600}{1000} = 57.6 \, \text{liters}$

Step 3: Calculate the Time to Fill the Tank

The fill rate is given as 16 liters per minute. To find the time ($t$) required to fill 57.6 liters, use the formula: $t = \frac{\text{Volume}}{\text{Fill Rate}}$ $t = \frac{57.6 \, \text{liters}}{16 \, \text{liters per minute}} = 3.6 \, \text{minutes}$

Answer

It would take 3.6 minutes to fill the petrol tank.

Would you like more details, or do you have any questions?

Here are five related questions to deepen your understanding:

1. How would the time change if the fill rate were increased to 20 liters per minute?
2. What would happen to the time if the dimensions of the tank were doubled?
3. How can you convert liters to cubic meters in a similar problem?
4. What if the tank had an irregular shape—how would we approach the volume calculation?
5. How would you calculate the time if the fill rate were given in milliliters per second?

Tip: When converting between volume units, always ensure consistency (e.g., cm³ to liters, liters to m³) to avoid errors in calculations.