Advanced Math/Weight

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Question
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.

Answer
Amount of steel used = (volume of a 14󭅇 solid) - (volume of airspace in container)
volume of a 14󭅇 solid = 336 m

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 = 7.9802.99013.970 ≅ 333.327 m
volume of steel = 336 - 333.327 = 2.673 m
area of 10mm steel = 2.6730.010 = 267.3 m

267.3 m 10.7639 ft/m ≅ 2877.2 ft
2877.2 ft 15.3 lb/ft = 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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Janet Yang

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I can answer questions in Algebra, Basic Math, Calculus, Differential Equations, Geometry, Number Theory, and Word Problems. I would not feel comfortable answering questions in Probability and Statistics or Topology because I have not studied these in depth.

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