Calculate the weight of a steel plate that measures 30 ft long, 27 inches wide, and 1/4 inch thick.

To determine the weight of the steel plate, it's essential to first calculate its volume and then use the material's density to find the weight.

1. Calculate the volume of the steel plate:
   • The dimensions of the plate are given as:

 - Length: 30 feet (which needs to be converted to inches for consistency with the other dimensions)
 - Width: 27 inches
 - Thickness: 1/4 inch

• Convert the length from feet to inches:

  • 30 feet x 12 inches/foot = 360 inches

• Now, calculate the volume in cubic inches:

  • Volume = Length x Width x Thickness
  • Volume = 360 inches x 27 inches x 0.25 inches
  • Volume = 360 x 27 x 0.25 = 2,430 cubic inches

2. Convert the volume to weight:
   • The density of steel typically averages about 0.283 pounds per cubic inch. To find the weight:
     • Weight = Volume x Density
     • Weight = 2,430 cubic inches x 0.283 lbs/cubic inch
     • Weight ≈ 686.19 lbs