Show, with calculations, which OPTION of the two options (Option 1 or Option 2) you would advise Franz to use so that he can pack the maximum number of boxes on the floor of the trailer.

To determine which packing option allows for the maximum number of boxes on the floor of the trailer, we need to calculate how many boxes fit for each option. Box dimensions: Length (L_b) = 0.3 m Breadth (B_b) = 0.215 m Height (H_b) = 0.235 m Trailer dimensions: Length (L_t) = 394 inches Breadth (B_t) = 119 inches Height (H_t) = 94.5 inches Conversion factor: 1 inch = 2.54 cm Step 1: Convert all dimensions to a consistent unit (centimeters). L_b = 0.3 m × 100 cm/m = 30 cm B_b = 0.215 m × 100 cm/m = 21.5 cm L_t = 394 inches × 2.54 cm/inch = 1000.76 cm B_t = 119 inches × 2.54 cm/inch = 302.26 cm Step 2: Calculate the number of boxes that fit on the floor for Option 1. In Option 1, the box's length (L_b) aligns with the trailer's length (L_t), and the box's breadth (B_b) aligns with the trailer's breadth (B_t). Number of boxes along trailer length = (L_t)/(L_b) = 1000.76 cm30 cm = 33.358... = 33 Number of boxes along trailer breadth = (B_t)/(B_b) = 302.26 cm21.5 cm = 14.058... = 14 Total boxes for Option 1 = 33 × 14 = 462 boxes Step 3: Calculate the number of boxes that fit on the floor for Option 2. In Option 2, the box's breadth (B_b) aligns with the trailer's length (L_t), and the box's length (L_b) aligns with the trailer's breadth (B_t). Number of boxes along trailer length = (L_t)/(B_b) = 1000.76 cm21.5 cm = 46.547... = 46 Number of boxes along trailer breadth = (B_t)/(L_b) = 302.26 cm30 cm = 10.075... = 10 Total boxes for Option 2 = 46 × 10 = 460 boxes Step 4: Compare the total number of boxes for both options. Option 1 allows 462 boxes, while Option 2 allows 460 boxes. Therefore, Option 1 allows for the maximum number of boxes on the floor. Franz should use Option 1. Last free one today — make it count tomorrow, or type /upgrade for unlimited.