The dimensions of a car petrol tank are `50cm xx 32cm xx 24cm`, which is full of petrol. If car's average consumption is 15km per litre, find the maximum distance that can be covered by the car.

Answer

To solve the problem step by step, we will follow these steps:

### Step 1: Calculate the Volume of the Petrol Tank
The dimensions of the petrol tank are given as:
- Length (L) = 50 cm
- Breadth (B) = 32 cm
- Height (H) = 24 cm

The formula for the volume (V) of a cuboid is:
\[ V = L \times B \times H \]

Substituting the values:
\[ V = 50 \, \text{cm} \times 32 \, \text{cm} \times 24 \, \text{cm} \]

Calculating the volume:
\[ V = 50 \times 32 = 1600 \]
\[ V = 1600 \times 24 = 38400 \, \text{cm}^3 \]

### Step 2: Convert Volume from Cubic Centimeters to Liters
We know that:
\[ 1000 \, \text{cm}^3 = 1 \, \text{liter} \]

To convert the volume of the petrol tank into liters:
\[ \text{Volume in liters} = \frac{38400 \, \text{cm}^3}{1000} \]

Calculating this gives:
\[ \text{Volume in liters} = 38.4 \, \text{liters} \]

### Step 3: Calculate the Maximum Distance Covered by the Car
The car's average consumption is given as 15 km per liter. Therefore, the distance (D) that can be covered with 38.4 liters of petrol is calculated as:
\[ D = \text{Volume in liters} \times \text{Distance per liter} \]

Substituting the values:
\[ D = 38.4 \, \text{liters} \times 15 \, \text{km/liter} \]

Calculating the distance:
\[ D = 576 \, \text{km} \]

### Final Answer
The maximum distance that can be covered by the car is **576 kilometers**.

---