This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Convert the depth of the gravel to meters. The depth of the gravel is given as 1 cm. Since 1 m = 100 cm, we convert centimeters to meters: 1 cm = (1)/(100) m = 0.01 m Step 2: Calculate the volume of gravel needed. The area of the courtyard is 3750 m^2. The volume of gravel is the area multiplied by the depth. Volume = Area × Depth Volume = 3750 m^2 × 0.01 m Volume = 37.5 m^3 Step 3: Calculate the total cost of covering the courtyard with gravel. The cost of gravel is ₹6.40 per cubic meter. Total Cost = Volume × Cost per cubic meter Total Cost = 37.5 m^3 × ₹6.40/m^3 Total Cost = ₹240 The cost of covering the courtyard with gravel is ₹240.