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The dimension of a car petrol tank are 5...

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

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To solve the problem step by step, we will follow these calculations: ### Step 1: Calculate the Volume of the Petrol Tank The volume of a rectangular tank can be calculated using the formula: \[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \] Given dimensions of the petrol tank are: - Length = 50 cm - Breadth = 32 cm - Height = 24 cm Substituting the values: \[ \text{Volume} = 50 \, \text{cm} \times 32 \, \text{cm} \times 24 \, \text{cm} \] Calculating this: \[ \text{Volume} = 50 \times 32 = 1600 \, \text{cm}^2 \] \[ \text{Volume} = 1600 \times 24 = 38400 \, \text{cm}^3 \] ### Step 2: Convert Volume from cm³ to Litres Since 1 litre is equal to 1000 cm³, we can convert the volume to litres: \[ \text{Volume in litres} = \frac{\text{Volume in cm}^3}{1000} \] Substituting the volume: \[ \text{Volume in litres} = \frac{38400 \, \text{cm}^3}{1000} = 38.4 \, \text{litres} \] ### Step 3: Calculate the Maximum Distance Covered by the Car The car's average consumption is given as 15 km per litre. To find the maximum distance that can be covered, we use the formula: \[ \text{Total Distance} = \text{Volume in litres} \times \text{Average Consumption} \] Substituting the values: \[ \text{Total Distance} = 38.4 \, \text{litres} \times 15 \, \text{km/litre} \] Calculating this: \[ \text{Total Distance} = 576 \, \text{km} \] ### Conclusion The maximum distance that can be covered by the car when the petrol tank is full is **576 km**. ---
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