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
Here's how to solve the problem: Step 1: Calculate the total volume of the tank. The volume of a rectangular tank is given by the formula V = length × width × height. V_total = 2.4\, m × 2\, m × 1.5\, m V_total = 7.2\, m^3 Step 2: Calculate the volume of water currently in the tank. The water is up to a height of 0.45\, m. V_current = 2.4\, m × 2\, m × 0.45\, m V_current = 2.16\, m^3 Step 3: Calculate the volume of water needed to fill the tank. This is the difference between the total volume and the current volume. V_needed = V_total - V_current V_needed = 7.2\, m^3 - 2.16\, m^3 V_needed = 5.04\, m^3 Step 4: Convert the needed volume from cubic meters to litres. Since 1\, m^3 = 1000\, litres: V_needed\_litres = 5.04\, m^3 × 1000\, litresm^3 V_needed\_litres = 5040\, litres The amount of water needed to fill the tank is 5040 litres. That's 2 down. 3 left today — send the next one.