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
Welcome back — been a while! Let's pick up where you left off. Step 1: Calculate the total volume of water that flowed into the tank. The water flowed at a rate of 1500 cm^3 per minute for 20 minutes. Total volume flowed = Flow rate × Time Total volume flowed = 1500 cm^3/min × 20 min Total volume flowed = 30000 cm^3 Step 2: Calculate the volume of the tank. The total volume of water flowed into the tank was 30000 cm^3, and 1200 cm^3 of water overflowed. The volume of the tank is the total water flowed minus the overflowed water. Volume of tank = Total volume flowed - Volume overflowed Volume of tank = 30000 cm^3 - 1200 cm^3 Volume of tank = 28800 cm^3 Step 3: Find the height of the tank. The base of the rectangular tank measures 40 cm by 30 cm. The volume of a rectangular tank is given by the formula: Volume = Length × Width × Height We can rearrange this to find the height: Height = VolumeLength × Width Height = 28800 cm^340 cm × 30 cm Height = 28800 cm^31200 cm^2 Height = 24 cm The height of the tank is 24 cm. Send me the next one 📸