A scaffold platform is 24 feet long and 7 feet wide. If the maximum load capacity is 25 pounds per square foot, what is the total weight capacity of the platform?
Correct Answer
A) 4,200 pounds
Platform area = 24 ft × 7 ft = 168 square feet. Total capacity = 168 sq ft × 25 lbs/sq ft = 4,200 pounds. This calculation is essential for determining safe loading of scaffolds.
Why This Is the Correct Answer
To find the total weight capacity, multiply the platform area by the load capacity per square foot. Platform area = 24 ft × 7 ft = 168 square feet. Total capacity = 168 sq ft × 25 lbs/sq ft = 4,200 pounds. This calculation ensures safe scaffold loading by determining the maximum allowable weight distribution across the entire platform surface.
Why the Other Options Are Wrong
Option C: 6,000 pounds
This answer of 6,000 pounds suggests using an incorrect load capacity of approximately 36 lbs/sq ft, or miscalculating the area. This significantly overestimates the safe capacity and could lead to dangerous scaffold overloading.
Option D: 4,800 pounds
This answer of 4,800 pounds suggests an error in the area calculation, possibly using 24 × 8 = 192 square feet instead of the correct 24 × 7 = 168 square feet. The calculation would be 192 × 25 = 4,800, but this uses incorrect dimensions.
Memory Technique
Remember 'Area × Rate = Total': Platform Area (length × width) × Load Rate (lbs/sq ft) = Total Capacity. Think 'A×R=T' for scaffold calculations.
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