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Using Math to Build My House

Using Math to Build My House. Jeff Goodman goodmanjm@appstate.edu. Planting Trees: How many in 10 acres?. What do we need to know?. So, we can get 11 x 110 = 1210 trees in an acre, or 12,100 trees in 10 acres. A. How closely should the trees be planted?.

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Using Math to Build My House

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  1. Using Math to Build My House Jeff Goodman goodmanjm@appstate.edu

  2. Planting Trees: How many in 10 acres? What do we need to know? So, we can get 11 x 110 = 1210 trees in an acre, or 12,100 trees in 10 acres. A. How closely should the trees be planted? 1 tree every 6 feet in each direction. B. How big is an acre? 220 yards by 22 yards = 4840 square yards.

  3. How long a log for a rafter? What do you need to know?

  4. 8ft

  5. 10:12 pitch – goes up 10” rise for every 12” of run 125” 80” 8 ft 96” 802 + 962 = (rafter length)2

  6. David is making two cuts on a large piece of wood. He’s going to cut a 2” thick piece and a 1” thick piece off and leave an 8” beam. How thick should the beam be before the cuts, if the blade takes out 1/8th of an inch On each cut?

  7. 8 + 2 + 1 + (2 x 1/8) = 11 ¼ Remember, each cut removes 1/8” of wood. How thick should the whole piece be? He’ll make another cut that is 1” thick, leaving 8” behind. 1” 2”

  8. Let’s estimate to see if he did this right. $170 x 5 = $850 We have almost this many 1000 board feet of 1” boards.

  9. 50 225 250 90 Calculating acreage

  10. 80,000 ft2 43,560 ft2/acre

  11. How many yards of sand do I need to mix mortar for this wall?

  12. Let’s see. A bag of cement is 1 cubic foot, and a “yard” of sand is really a cube of sand one yard on a side (yd3).

  13. sand cement I have 18 bags of cement. Mortar Mix 1:3

  14. 3 ft 3 ft 3 ft Cubic yard 18 ft3 of cement would require 18 x 3 = 54 ft3 of sand. And a cubic yard of sand is 27ft3. So I need to order 2“yards” of sand.

  15. ?

  16. 28 ¼ 28 13/16 26 ½

  17. 3 ½” What’s the total length? 33 1/16+ 3 ½ = 36 9/16 How wide is one board? 1 ¾

  18. $597.65 x .7 = ? $597.65 x .7 = $418.36 Try it in your head: estimate!

  19. What information is necessary to define these shapes?

  20. What’s the best way to define these curves?

  21. Roofing!

  22. What is the angle here?

  23. What math is behind a set of stairs?

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