WEIGHTS AND MEASURES. Linear Measure. 1 Foot12 inches. 1 Yard 3 feet - 36 inches. 1 Rod 5 1/2 yards /2 feet

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1 WEIGHTS AND MEASURES Linear Measure 1 Foot12 inches 1 Yard 3 feet - 36 inches 1 Rod 5 1/2 yards /2 feet 1 Furlong 40 rods yards feet 1 Mile 8 furlongs rods - 1,760 yards 5,280 feet Surveyor's Linear Measure 1 Link = 7.92 inches 1 Rod = 25 links 1 Chain = 4 rods links - 66 feet 1 Furlong = 10 chains 1 Mile = 8 furlongs - 80 chains Square Measure 1 Square Foot = 144 sq. inches 1 Square Yard = 9 sq. feet - 1,296 sq. inches 1 Square Rod = 1 pole or perch /4 sq. yards /4 sq. feet 1 Rod = 40 sq. rods 1 Acre = 160 sq. rods - 4,840 sq. yards - 43,560 sq. feet 1 Square Mile = 640 acres Surveyor's Square Measure 1 Square Rod = 526 sq. links 1 Square Chain = 16 sq. rods 1 Acre = 10 sq. chains 1 Square Mile = 640 acres

2 Cubic Measure 1 Cubic Foot = 1,728 cu. inches - 7,481 gallons 1 Cubic Yard = 27 cu. feet 1 Cord Foot = 16 cu. feet 1 Cord of Wood = 8 cord feet cu. feet 1 Perch of Masonry = 24 3/4 cu. feet 1 Bushel = cu. feet Angles and Arcs 1 Minute = 60 seconds 1 Degree = 60 minutes 1 Right Angle = 90 degrees -1 quadrant 1 Circumference = 360 degrees - 4 quadrants Board Measure 1 Board Foot length in feet x width in feet x thickness in inches. Measurements in General Use: 1 link is 7.92 inches 1 foot is 12 inches 1 yard is 3 feet or 36 inches 1 rod is 16 1/2 feet, 5 1/2 yards or 25 links 1 surveyor s chain is 66 feet, or 4 rods, or 100 links 1 furlong is 660 feet, or 40 rods 1 mile is 8 furlongs, 320 rods, 80 chains or 5,280 feet 1 square rod is 272 1/4 square feet or 30 1/4 square yards 1 acre contains 43,560 square feet 1 acre contains 160 square rods

3 span is 9 inches hand - horse measurement - is 4 inches knot - nautical - is 6, feet fathom - nautical - is 6 feet stone is 14 pounds A square acre is approximately feet on each side 1 acre is about 8 rods by 20 rods, or any two combinations of rods whose product is 160. Simple Formula Converting Square Feet to Acres: Multiply by 23 and point off 6 places Example: 1500 ft. x 2050 ft. = 3,075,000 sq. ft. x 23 = acres (This method is not exact but is useful for rough calculations) To Find Capacity of Cylindrical Tanks Standing-on End: To find the capacity of cubic feet of a tapered round tank or other object: See "Volume of Frustum". To find the capacity of a cylindrical tank in gal1ons: Multiply area of base ( πr 2 ) by height of tank to obtain capacity in cubic feet. Multiply capacity in cubic feet by gallons per cubic foot. Board Measure: Multiply thickness in inches by width in inches, divide product by 12 and multiply result by the length in feet. The result is board measure content. Conversion factors for converting lineal feet of lumber into board feet - Example: 50 2" x 10"s 20 long (read: 50 boards, that are 2 inches by 10 inches and are 20 feet long) 50 x 20 = 1000 lineal feet 2" x 10" = 20 sq. inches 12 = board feet x 1000 lineal feet equals 1,667 board feet. Rule of Right Triangle AREA AND VOLUME FORMULAS

4 a. Square of hypotenuse of a right triangle is equal to the sum of the squares of other two sides. b. Square of one-side equals square of hypotenuse minus square of other side. C 2 equals A 2 plus B 2 A 2 equals C 2 minus B 2 B 2 equals C 2 minus A 2 Triangle Area equals 1/2 the product of base and altitude A=1/2 (bh) Rectangles and Squares Area equals the product of length and width A=lw Parallelograms Area equals the product of base and altitude A=bh Trapezoid Area equals the product of the height and 1/2 the sum of the bases. A = (a + b x h) / 2 Hexagon Area equals 3 times the product of apothem and 1 side. A = 3as NOTE: Divide hexagon into triangles. Circle Area equals the product of π (3.1416) and radius squared. A = π r 2 or.7854d 2 Circumference equals the product of U and diameter.

5 C =πd or C = 2πr Prism Lateral area equals the perimeter of the base times the height. Total area equals the combined area of lateral faces and the bases. Volume of any prism equals the area of base times altitude. Cube Total area equals 6 times the square of one edge. Volume equals area of the base times altitude. Retangular Solid Lateral area equals the perimeter of the base times the height. Total area equals combined area of lateral faces and the bases. Volume equals area of base times altitude. Cylinder Lateral area equals the circumference of base times height. Volume equals the area of its base times altitude. Pyramid A solid whose base is a polygram and sides are triangles and meet in common point to form the vertex. Lateral area is equal to the perimeter of base x ½ slant height. Volume is 1/3 the base area x altitude. Cone A solid whose base is a circle and whose surface tapers to a point called vertex or top. May be considered a pyramid with an unlimited number of sides. The lateral area equals the circumference of base x 1/2 slant height. Volume equals 1/3 of the product of the base area and altitude. Frustums Lateral area of a frustum of a right pyramid equals one half of the sum of the perimeters of two bases times the slant height.

6 Lateral area of a frustum of a cone is found by multiplying one-half the sum of the circumference of the two bases by the slant height. Total area of a frustum is the sum of lateral area and the two bases. For volume of a frustum take sum of the areas of the two bases; to this add the square root of the product of the areas of the two bases, multiply result by 1/3 of the altitude. Sphere (A solid bounded by a curved surface, every point equally distant from the center.) Surface of a sphere equals 2 times the square of the diameter. Volume of a sphere equals the area of the surface times 1/3 of the radius. Circumference is the same as that of a circle.