

Hard Chrome Plating Training Course Appendix 4. Calculation of Surface Area and Volume Formula: Surface area = width (w) x length (l) Example: A ﬂat surface to be plated is 1.5 feet wide by 2.0 feet long. What is the surface area of one side? surface area = 1.5 feet x 2.0 feet = 3.0 ft^{3} Convert to square feet to square inches: 3.0 ft^{2} x 144 in/ft^{2} = 432 in^{3} Formula: Volume = width (w) x length (L) x height Example: A plating tank is 3.0 feet wide by 6.0 feet long by 4.5 feet deep. What is the volume of the tank in gallons? volume = 3.0 ft x 6.0 ft x 4.5 ft = 81.0 ft^{3} Convert cubic (ft^{3}) feet to gallons: 81.0 ft^{3} x (7.48 gal/ft^{3}) = 605.9 gallons Surface area = π x diameter (d) x height (h) or 3.14 x d x h Note that π always equals 3.14. With this formula, we do not include the ends of the cylinder because they are normally not plated. Example 1: A piston is 30 inches long and has a diameter of 4 inches. What is the surface area of the piston? surface area = (3.14) x (4 inches) x (30 inches) surface area = 376.8 in^{2} Example 2: An inside journal is 1.5 inches long and has a diameter of 4 inches. What is the surface area of the journal? surface area = (3.14) x (1.5 inches) x (4 inches) surface area = 18.8 in^{2} Volume of a Cylinder Volume = π x (radius)^{2} x height where radius (r) = d/2 Example: Volume of Partially Filled Drum A 55 gallon drum with a diameter of 23 inches contains 14 inches of sulfuric acid. How many gallons of sulfuric acid are in the drum? Volume = (3.14) x (23/2)^{2} inches x 14 inches Volume = 3.14 x 132.25 x 14 Volume = 5,813.7 in^{3} Convert to cubic feet: 5,813.7 in^{3} ÷ 1,728 in^{3}/ft^{3} = 3.36 ft^{3} 3.36 ft^{3} x 7.48 gal/ ft^{3} = 25.2 gal.



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