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 all dimensions to centimeters. Length (l) = 1.05 m = 1.05 × 100 cm = 105 cm Breadth (b) = 70 cm Height (h) = 1.5 cm Step 2: Calculate the volume of the rectangular piece of iron. The formula for the volume of a cuboid is V = l × b × h. V = 105 cm × 70 cm × 1.5 cm V = 7350 cm^2 × 1.5 cm V = 11025 cm^3 Step 3: Calculate the total weight of the iron piece in grams. Given that 1 cm^3 of iron weighs 8 grams. Weight in grams = Volume × Weight per unit volume Weight in grams = 11025 cm^3 × 8 gcm^3 Weight in grams = 88200 g Step 4: Convert the total weight from grams to kilograms. We know that 1 kg = 1000 g. Weight in kilograms = 88200 g1000 gkg Weight in kilograms = 88.2 kg The weight of the piece of iron is 88.2 kg.