1. Industrial Skills Area: Descriptions, Calculations & Industrial Applications

2. Description: Area A Two-Dimensional Quantity Area measurements utilize linear measurements to calculate the number of unit squares within a given boundary. Measurements of area are expressed in “square units” such as square inches, square feet, square meters, etc. They have length and width but thickness is not considered in the calculations. Never mix units in the same calculation.

3. Industrial Applications: Common Quantities and Conversions 1 square foot = 144 square inches 1 square yard = 9 square feet = 1,296 sq. in. 1 cubic foot = 1,728 cubic inches 1 cubic yard = 27 cubic feet = 46,656 cu. in. 1 cubic foot = 7.47 gallons of water* 1 gallon of water = 8.3453 pounds* 1 square centimeter = 100 square millimeters 1 square meter =10,000 sq.cm.=1,000,000 sq.mm 1 cubic meter = 1,000,000,000 cubic millimeters 1 cubic meter = 1,000 liters of water* 1 cubic meter = 264.2 gallons of water* 1 liter of water = 1.000 Kilogram*

4. Industrial Applications: Exhaust Fan Calculations NC Mechanical Code Requirements for Exhaust Fans: –Autopsy Room:.50 cubic foot per min. per sq. ft. –Pet Store: 1 cubic foot per minute per square foot –Smoking Lounge: 60 cu.ft. per min per person Exhaust Fan Specifications: –Economy Model: 60 Cubic Feet per Minute (CFM) –Commercial Model: 50 CFM –Commercial Model: 80 CFM

5. Industrial Applications: Exhaust Fan Questions 1If the room in question were to be used as a pet storage facility, which exhaust fan would be needed? 2If the room in question were to be used as to perform autopsies, which exhaust fan would be needed? 3If the room in question were to be used by a person who will be smoking in their office, which exhaust fan would be needed?

6. Industrial Applications: Room Calculations Inside Dimensions: 96” wide x 102” long 96” x 102” = 9,792 sq.in. divided by 144 sq.in. = 68 sq. feet (8ft. x 8.5ft. = 68 square feet) Inside Dimensions: 96” wide x 102” long x 99.5” high 96” x 102” x 99.5” = 974,304 cu.in. divided by 1,728 cu.in. = 563.8 cubic feet (8ft. x 8.5ft. x 8.3ft. = 564.4 cubic feet)

7. Industrial Applications: Exhaust Fan Questions 1If the room in question were to be used as a pet storage facility, which exhaust fan would be needed? (80 CFM) 2If the room in question were to be used as to perform autopsies, which exhaust fan would be needed? (50 CFM) 3If the room in question were to be used by a person who will be smoking in their office, which exhaust fan would be needed? (60 CFM)

8. Industrial Applications: Calculations: Square Footage Sq. Ft. = L” x W” divided by 144 Top: (7,020 sq.in.) – 97.5” x 72” Sides: (1864.5sq.in) – 97.5” x 5.5” x 2 –72” x 5.5” x 2 Total: (8884.5 sq.in.) Convert: –8884.5sq.in. / 144sq.in.= 61.6979 sq. feet 97.5” 72” 5.5” Center Table

9. Industrial Applications: Calculations: Square Meters Sq. M. = L cm x W cm divided by 10,000 Top: (45,310.8 sq.cm) – 247.6cm x 183cm Sides: (12,056.8sq.cm) – 183.6cm x 14cm x 2 –247.6cm x 14cm x 2 Total: (57367.6 sq.cm) Convert: –57,367.6sq.cm / 10,000sq.cm= 5.737 sq. Meters 247.6cm 183cm 14cm Center Table

10. Industrial Applications: Calculations: Square Footage 97.5” 25.375” 11.25” Saw Table Sq. Ft. = L” x W” divided by 144 Top: (2,474.06 sq.in.) – 97.5” x 25.375” = 2,474.06sq.in. Sides: (2,764.69sq.in) – 97.5” x 11.25”x 2 = 2,193.75 sq.in. – 25.375” x 11.25” x 2 = 570.94 sq.in. Total:Top & Sides(5,238.75 sq.in.) Convert: – 5,238.75sq.in. / 144sq.in.= 36.3802 sq. feet

11. Industrial Applications: Calculations: Square Meters 247.6cm 64.5cm 28.6cm Saw Table Sq. M = L cm x W cm / 10,000 sq.cm Top: (15,970.2 sq.cm) – 247.6cm x 64.5cm = 15,970.2 sq.cm Sides: (17,852.12 sq.cm) – 247.6cm x 28.6cm x 2 = 14,162.72 sq.cm – 64.5cm x 28.6cm x 2 = 3,689.4 sq.cm Total:Top & Sides(33,822.32 sq.cm Convert: – 33,822.32 sq.cm / 10,000sq.cm = 3.3822 sq. Meters *Alternative Method: Convert Sq.Ft. to Sq. Meters by use of Conversion Factor (1 sq.ft. =.09 sq.M) 36.38sq.ft. x.09sq.M = *3.2742 sq.M

12. Industrial Applications: Calculations: Square Footage 5.5” 147” 97.5” 49.5” 97.5” 47.625” 49.5” Sq. Ft. = L” x W” divided by 144 Top: (9,633.94 sq.in.) – 147” x 49.5” = 7,276.5sq.in. – 47.625 x 49.5” = 2,357.44sq.in. Sides: (2,687.44sq.in) – 147” x 5.5” = 808.5 sq.in. – 97.5” x 5.5” x 2 = 1,072.5 sq.in. – 49.5” x 5.5” x 2 = 544.5 sq.in. – 47.625” x 5.5” = 261.94 sq.in. Total:Top & Sides(12,321.38 sq.in.) Convert: – 12,321.38sq.in. / 144sq.in.= 85.5651 sq. feet

13. Industrial Applications: Calculations: Square Meters 14cm 374cm 247.6cm 125.5cm 247.6cm 121cm 125.5cm Sq. M. = L cm x W cm / 10,000sq.cm. Top: (62,122.5 sq.cm) – 374cm x 125.5cm = 46,937sq.cm – 121cm x 125.5cm = 15,185.5 sq.cm Sides: (17,376.8 sq.cm) – 374cm x 14cm = 5,236 sq.cm – 247.6cm x 14cm x 2 = 6,932.8 sq.cm – 125.5cm x 14cm x 2 = 3,514 sq.cm – 121cm x 14cm = 1,694 sq.cm Total:Top & Sides(79,499.3 sq.cm.) Convert: – 79,499.3sq.cm / 10,000sq.cm.= 7.9499 sq. Meters

14. Industrial Applications: Calculations: Square Footage 83.75” 29.75” 1.5” Work Bench Sq. Ft. = L” x W” divided by 144 Top: (2,491.56 sq.in.) – 83.75” x 29.75” = 2,491.56sq.in. Sides: (340.5sq.in) – 83.75” x 1.5”x 2 = 251.25 sq.in. – 29.75” x 1.5” x 2 = 89.25 sq.in. Total:Top & Sides(2,832.06 sq.in.) Convert: – 2,832.06sq.in. ÷ 144sq.in.= 19.67 sq. feet

15. Industrial Applications: Calculations: Square Meters 212.5cm 75.5cm 4 cm Work Bench Sq. M = L cm x W cm / 10,000 sq.cm Top: (16,043.75 sq.cm) – 212.5cm x 75.5cm = 16,043.75 sq.cm Sides: (2,002 sq.cm) – 212.5cm x 4cm x 2 = 1,700 sq.cm – 75.5cm x 4cm x 2 = 302 sq.cm Total:Top & Sides(18,045.75 sq.cm Convert: – 18,045.75 sq.cm ÷ 10,000sq.cm = 1. 8046 sq. Meters *Alternative Method: Convert Sq.Ft. to Sq. Meters by use of Conversion Factor (1 sq.ft. =.09 sq.M) 19.67sq.ft. x.09sq.M = *1.7703 sq.M

16. Industrial Applications: Calculations: Square Footage/Paint 1 gallon of paint covers 400 sq. ft. 1 gallon = 128 ounces ½ gallon = 64 ounces 1 quart = 32 ounces 1 pint = 16 ounces ½ pint (1 cup) = 8 ounces Center Table: 61.70sq.ft. –61.70sq.ft/400sq.ft per gal..1543 gallons.1543gal. x 128oz. = 19.7504 ounces Saw Table: 36.38 sq.ft. –36.38sq.ft./400sq.ft.gal..09095 gallons.0910 x 128oz. = 11.648 ounces

17. Industrial Applications: Calculations: Square Footage/Paint 1 gallon of paint covers 400 sq. ft. 1 gallon = 128 ounces ½ gallon = 64 ounces 1 quart = 32 ounces 1 pint = 16 ounces ½ pint (1 cup) = 8 ounces L Table: 85.57 sq.ft. –85.57sq.ft./400sq.ft. gal..213925 gallons.2139gal. x 128 oz. = 27.38 ounces Work Bench: 19.67 sq.ft. –19.67sq.ft./400sq.ft.gal..04918 gallons.04918 x 128oz. = 6.295 ounces