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
I'll solve Question 1 from the image, which asks to determine the maximum number of reels of thread that will fit into a rectangular box. This involves calculating how many reels fit along the length and width of the box. Dimensions of the rectangular box: Length = 195 mm Width = 120 mm Dimensions of a cylindrical reel of thread: Radius = 11.5 mm Diameter = 2 × 11.5 mm = 23 mm Step 1: Determine how many reels can fit along the length of the box. Number of reels along length = Length of boxDiameter of reel = 195 mm23 mm Number of reels along length ≈ 8.478 Since only whole reels can fit, we take the floor of this value. Number of reels along length = 8 Step 2: Determine how many reels can fit along the width of the box. Number of reels along width = Width of boxDiameter of reel = 120 mm23 mm Number of reels along width ≈ 5.217 Since only whole reels can fit, we take the floor of this value. Number of reels along width = 5 Step 3: Calculate the total maximum number of reels that can fit in the box. Total number of reels = (Number of reels along length) × (Number of reels along width) Total number of reels = 8 × 5 Total number of reels = 40 The maximum number of reels of thread that will fit into the rectangular box is 40. Send me the next one 📸