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 dimensions of the rectangular water tank to meters. The given dimensions are: Length (l) = 2 m 75 cm = 2 m + 0.75 m = 2.75 m Breadth (b) = 1 m 80 cm = 1 m + 0.80 m = 1.80 m Height (h) = 1 m 40 cm = 1 m + 0.40 m = 1.40 m Step 2: Calculate the volume of the rectangular tank. The formula for the volume of a cuboid is V = l × b × h. V = 2.75 m × 1.80 m × 1.40 m V = 4.95 m^2 × 1.40 m V = 6.93 m^3 Step 3: Convert the volume from cubic meters to liters. We know that 1 m^3 = 1000 liters. Volume in liters = 6.93 m^3 × 1000 litersm^3 Volume in liters = 6930 liters The tank holds 6930 liters of water when filled to the brim.