Math in the Workplace - Measurements/Geometry
PACIFIC STAR CABINETRY
Cabinets and Millwork
Carpenter
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Job Description: Acquires lumber and materials
and builds products based on the customer's specifications and satisfaction.
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Problem:
Determine the lumber cost of a 12' x 16' redwood deck for a hot tub.
Solid lumber is sold by the board footage. A board foot is defined as a piece of lumber 1 inch thick by 12 inches wide by 12 inches long, or 144 cubic inches.
The 2" x 6" premium-grade redwood used for decking is $1.35 per
board foot and is cut 16' long to lay across treated framing.
The seven 6" x 6" treated framing are $1.25 per board foot and
are cut 13 feet long. How far apart should the framing be?
 PACIFIC STAR CABINETRY
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Solution:
Use the following formula to determine the amount of board feet in the deck:
T x W x L" 
144" = board feet
| T |
= thickness in inches |
| W |
= width in inches |
| L |
= length in inches |
Decking redwood = 2" thick x 6" wide
(12' x 12") width of deck
6" width of board |
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= 24 boards |
2" x 6" x (16' x 12")
144" |
= |
2,304"
144" |
= 16 board feet each |
16 x 24 boards = 384 board feet x $1.35 = $518.40 for decking
Framing = 6" x 6" thick x 13'
6" x 6" x (13' x 12")
144" |
= |
5,616 in
144" |
= 39 board feet each |
39 x 7 boards = 273 board feet x $1.25 = $341.25 for treated posts
518.40 + 341.25 = $859.65 total cost of lumber
Calculate length of space between posts
Number of spaces x (width of board +width of space) + extra width
of board
6(6" + s) + 6" = 16' x 12"
36 + 6s + 6 = 192
6s + 42 = 192
6s = 150
Length of space = 25" between boards