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.
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Here are the solutions to the questions: 1.3.1 Step 1: Determine the diameter of a hockey ball. The radius of a hockey ball is 35.5 mm. The diameter of a hockey ball is D_ball = 2 × 35.5 mm = 71 mm. Step 2: Determine how many hockey balls can fit across the diameter of Container A. The diameter of Container A is 73 mm. Number of balls across diameter = Container A diameterHockey ball diameter = 73 mm71 mm ≈ 1.02. Since only whole balls can fit, 1 hockey ball can fit across the diameter. Step 3: Determine how many hockey balls can fit along the height of Container A. The height of Container A is 280 mm. Number of balls along height = Container A heightHockey ball diameter = 280 mm71 mm ≈ 3.94. Since only whole balls can fit, 3 hockey balls can fit along the height. Step 4: Calculate the total number of hockey balls that can fit into Container A. Total balls = (balls across diameter) × (balls along height) Total balls = 1 × 3 = 3 Thus, 3 hockey balls can fit into CONTAINER A. 1.3.2 Step 1: Determine the diameter of a hockey ball. The diameter of a hockey ball is 71 mm (from 1.3.1). Step 2: Convert all dimensions of Container B to millimeters. Length = 240 mm. Width = 17 cm = 17 × 10 mm = 170 mm. Height = 100 mm. Step 3: Determine how many hockey balls can fit along each dimension of Container B. Number of balls along length = 240 mm71 mm ≈ 3.38. So, 3 balls. Number of balls along width = 170 mm71 mm ≈ 2.39. So, 2 balls. Number of balls along height = 100 mm71 mm ≈ 1.40. So, 1 ball. Step 4: Calculate the total number of hockey balls that can fit into Container B. Total balls = (balls along length) × (balls along width) × (balls along height) Total balls = 3 × 2 × 1 = 6 Thus, 6 hockey balls can fit into CONTAINER B. 1.3.3 Container A is a cylindrical shape, which is a better match for the spherical hockey balls. This allows for a more snug fit, minimizing wasted space and preventing the balls from moving around and potentially getting damaged during transport. 3 done, 2 left today. You're making progress.