uestion Help Lumber is measured in board feet, where a board foot is the volume
ID: 3195955 • Letter: U
Question
uestion Help Lumber is measured in board feet, where a board foot is the volume of a piece of lumber one foot square and one inch thick (a) How many board feet are in a two-by-four (2" by 4") that is 18 feet long? The volume of a rectangular solid is length times width times height (b) Lum What is the cost of 144 two-by-fours, each 18 feet long? ber is priced in dollars per thousand board feet Suppose two-by-fours 18 feet long are $640 per thousand board feet (a) A two-by-four (2" by 4") that is 18 feet long is 12 board feet Type a whole number) (b) The cost of 144 two-by-fours, each 18 feet long, is (Round to the nearest cent.)Explanation / Answer
answer to (a):
Note that 18 ft =216 inches
Board footage = (width in inches * length in feet *Thickness in inches) / 12 = (2 *4 *216)/12 =1728 inches/12 =144 ft/12 =12. Therefore the number of board feet is 12.
Answer to (b):
Given that the cost of 1000 board feet is $640. Hence, by unitary method, the cost of one baord feet is 640/1000=$0.64. therefore , the cost for 144 board feet is 144 *.64 = $92.16
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