Overhead Crane Practice Test

If a steel plate weighs 40 pounds per inch, what is the approximate weight of a steel plate that is 8 ft. long, 5 ft. wide, and 3 inches thick?

1. 4800 pounds

2. 1200 pounds

3. 2000 pounds

4. 2400 pounds

The correct answer is: 2000 pounds

To determine the weight of the steel plate, it is essential to first find its volume and then multiply that by the given weight per cubic inch. 1. **Calculate Volume**: The dimensions of the steel plate need to be converted into inches, since the weight is provided in pounds per inch. - The length of the plate in inches is 8 feet × 12 inches/foot = 96 inches. - The width of the plate in inches is 5 feet × 12 inches/foot = 60 inches. - The thickness of the plate is already given as 3 inches. Now, using the formula for volume (length × width × thickness): \[ \text{Volume} = 96 \text{ inches} \times 60 \text{ inches} \times 3 \text{ inches} = 17280 \text{ cubic inches} \] 2. **Calculate Weight**: Once the volume in cubic inches is known, to find weight, the volume needs to be multiplied by the steel weight per cubic inch. The given weight is 40 pounds per inch of thickness and we assume it applies to cubic inches: \[ \text{Weight} = 17280 \