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A storage container is constructed with 10mm plate steel for the sides, bottom, and center divider.

Dimensions:

Length- 14 meters.

Width- 8 meters.

Height- 3 meters.

Plate steel weighs 15.3 lbs. per square foot for 10mm (approx. 3/8 inch).

Calculate weight of the container to the nearest kilogram.

Amount of steel used = (volume of a 14×8×3 solid) - (volume of airspace in container)

volume of a 14×8×3 solid = 336 m³

Thickness of steel = 10 mm = 0.010 m.

Width of airspace = 8 - 2(0.010) = 7.980 m

Height of airspace = 3 - 0.010 = 2.990 m

Length of airspace = 14 - 3(0.010) = 13.970 m

volume of airspace = 7.980×2.990×13.970 ≅ 333.327 m³

volume of steel = 336 - 333.327 = 2.673 m³

area of 10mm steel = 2.673÷0.010 = 267.3 m²

267.3 m² × 10.7639 ft²/m² ≅ 2877.2 ft²

2877.2 ft² × 15.3 lb/ft² = 44021.16 lb

44021.16 lb × 0.453592 kg/lb = 19968 kg

The numbers are so large, I'm not sure this is the correct answer.

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