AREA VOLUME &YARDAGE FORMULAS
Square :
AREA
Area = Base x Height
Rectangle:
Area = Base x Height
A=bxh
Triangle:
Area = (Base x Height) / 2
A= bxh
2
Trapizoid:
Area = (Base1+ Base2) x Height
2
A = (b1+b2) x h
2
Area =  x Radius2 or  x Radius x Radius
Circle:
A = r2
VOLUME or CUBIC FOOTAGE
Square or Rectangular
Volume = Base x Height x Depth(d)
Extrusion/Slab with Thickness
V=bxhxd
Trianglar Extrusion/
Slab w/ Thickness
Trapizoidal Extrusion:
Cylinder:
Volume = Area x Thickness
V= bxh x d
2
Volume = Area x Depth (d)
V = (b1+b2) x h x d
2
Volume = Area x Depth (d)
V = r2 x d
Remember: The above are for VOLUME, something with thickness, not just area.
YARDAGE
Square Yards (Area):
1 sq. yd = 9 sq. ft
(1 yd² = 3 feet x 3 feet)
Cubic Yards (Volume):
1 cu.yd. = 27 cu.ft. (1 yd³ = 3 feet x 3 feet x 3 feet)
HERO’S FORMULA – In the event that the lengths of the sides of a triangle are known but
the altitude is unknown, the area can be calculated by using Hero’s Formula.
Area of a triangle =
ss  a s  bs  c 
Where s is half the perimeter, or
S
NOTE:
abc
2
The symbol
means square root. A square root equals a number, when multiplied by
itself, equals a given number. For example the square root of 36 is 6, because 6 multiplied
by itself equals 36. Square roots do not always come out even as in this example. The hand
held calculator saves an incredible amount of work solving for square roots.
BOARD FOOTAGE FORMULAS
Board Feet = T  W  L
12
#pcs.  L  T W  cost per BF = Board Foot Cost
12
LAP SIDING QUANTITY CALCULATION
STEP-BY-STEP CALCULATION OF LAP SIDING
Step 1:
Calculate the square required
Step 2:
Determine the ACTUAL siding width.
Step 3:
Determine the lap
Step 4:
Determine the number of linear feet of siding per square foot
Total Lin. Ft. per Sq.Ft. =
12"
= Factor
(width - lap)
Step 5:
Determine the total number of linear feet of siding.
Step 6a:
Calculate the total board feet of siding.
Step 6b.
Calculate the total cost of the order, based on total Board Feet.
REPETITIVE MEMBER EQUATION
REPETITIVE MEMBER EQUATION
(Total Length  Unit Spacing) + 1 = # of Repetitive Members