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
You're on a roll — Step 1: Convert the total volume of water from litres to cubic meters. Given that 1 m^3 = 1000 litres, we convert the volume of water: V = 600000 litres × 1 m^31000 litres V = 600 m^3 Step 2: Identify the given dimensions of the diving pool. The diving pool is cuboid in shape with a length of 12.5 m and a width of 8.0 m. Let the depth be d. Step 3: Apply the formula for the volume of a cuboid. The volume V of a cuboid is given by: V = length × width × depth Step 4: Substitute the known values into the formula and solve for the depth. 600 m^3 = 12.5 m × 8.0 m × d First, calculate the product of length and width: 12.5 m × 8.0 m = 100 m^2 Now, substitute this back into the equation: 600 m^3 = 100 m^2 × d To find d, divide the volume by the area: d = 600 m^3100 m^2 d = 6 m The depth of water in the diving pool is 6 m. What's next?