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Board Foot worksheet

Grade 6 · CCSS 6.G.A.2, 6.RP.A.3.d

Solve each problem and show your work. Round answers to 2 decimal places where needed.

  1. Problem 1.
    • Measure by: Actual dressed size of a nominal softwood board
    • Thickness: 1 in
    • Width: 6 in
    • Length: 9 ft
    • Number of pieces: 8
    • Price per board foot: $4

    Find: Total board feet

  2. Problem 2.
    • Measure by: Sizes as entered (nominal, how lumber is sold)
    • Thickness: 1 in
    • Width: 5 in
    • Length: 9 ft
    • Number of pieces: 12
    • Price per board foot: $3.60

    Find: Total board feet

  3. Problem 3.
    • Measure by: Sizes as entered (nominal, how lumber is sold)
    • Thickness: 1 in
    • Width: 6 in
    • Length: 10 ft
    • Number of pieces: 14
    • Price per board foot: $6.60

    Find: Total board feet

  4. Problem 4.
    • Measure by: Sizes as entered (nominal, how lumber is sold)
    • Thickness: 2 in
    • Width: 7 in
    • Length: 10 ft
    • Number of pieces: 8
    • Price per board foot: $4.90

    Find: Total board feet

  5. Problem 5.
    • Measure by: Actual dressed size of a nominal softwood board
    • Thickness: 1 in
    • Width: 6 in
    • Length: 7 ft
    • Number of pieces: 8
    • Price per board foot: $4

    Find: Total board feet

  6. Problem 6.
    • Measure by: Actual dressed size of a nominal softwood board
    • Thickness: 2 in
    • Width: 3 in
    • Length: 9 ft
    • Number of pieces: 12
    • Price per board foot: $3

    Find: Total board feet

  7. Problem 7.
    • Measure by: Actual dressed size of a nominal softwood board
    • Thickness: 1 in
    • Width: 8 in
    • Length: 6 ft
    • Number of pieces: 12
    • Price per board foot: $3.60

    Find: Total board feet

  8. Problem 8.
    • Measure by: Sizes as entered (nominal, how lumber is sold)
    • Thickness: 1 in
    • Width: 6 in
    • Length: 8 ft
    • Number of pieces: 8
    • Price per board foot: $3.40

    Find: Total board feet

  9. Problem 9.
    • Measure by: Actual dressed size of a nominal softwood board
    • Thickness: 1 in
    • Width: 7 in
    • Length: 7 ft
    • Number of pieces: 11
    • Price per board foot: $4.60

    Find: Total board feet

  10. Problem 10.
    • Measure by: Sizes as entered (nominal, how lumber is sold)
    • Thickness: 1 in
    • Width: 5 in
    • Length: 9 ft
    • Number of pieces: 10
    • Price per board foot: $4

    Find: Total board feet

Answer key: Board Foot worksheet

  1. 1. Total board feet: 24.75 BF

    1. Find the real thickness: a board sold as 1 in is dried and planed 0.25 in thinner

      1−0.25=0.75 in
    2. Find the real width: a width sold as 6 in loses 0.5 in

      6−0.5=5.5 in
    3. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      0.75×5.5×912=3.09375 BF
    4. Multiply by the number of pieces to get the total board feet

      3.09375×8=24.75 BF
    5. Find the cost: total board feet times the price per board foot

      24.75×$4.00=$99.00
    6. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      24.7512=2.0625 ft³
  2. 2. Total board feet: 45 BF

    1. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      1×5×912=3.75 BF
    2. Multiply by the number of pieces to get the total board feet

      3.75×12=45 BF
    3. Find the cost: total board feet times the price per board foot

      45×$3.60=$162.00
    4. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      4512=3.75 ft³
  3. 3. Total board feet: 70 BF

    1. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      1×6×1012=5 BF
    2. Multiply by the number of pieces to get the total board feet

      5×14=70 BF
    3. Find the cost: total board feet times the price per board foot

      70×$6.60=$462.00
    4. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      7012=5.833333 ft³
  4. 4. Total board feet: 93.333 BF

    1. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      2×7×1012=11.666667 BF
    2. Multiply by the number of pieces to get the total board feet

      11.666667×8=93.333333 BF
    3. Find the cost: total board feet times the price per board foot

      93.333333×$4.90=$457.33
    4. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      93.33333312=7.777778 ft³
  5. 5. Total board feet: 19.25 BF

    1. Find the real thickness: a board sold as 1 in is dried and planed 0.25 in thinner

      1−0.25=0.75 in
    2. Find the real width: a width sold as 6 in loses 0.5 in

      6−0.5=5.5 in
    3. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      0.75×5.5×712=2.40625 BF
    4. Multiply by the number of pieces to get the total board feet

      2.40625×8=19.25 BF
    5. Find the cost: total board feet times the price per board foot

      19.25×$4.00=$77.00
    6. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      19.2512=1.604167 ft³
  6. 6. Total board feet: 33.75 BF

    1. Find the real thickness: a board sold as 2 in is dried and planed 0.5 in thinner

      2−0.5=1.5 in
    2. Find the real width: a width sold as 3 in loses 0.5 in

      3−0.5=2.5 in
    3. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      1.5×2.5×912=2.8125 BF
    4. Multiply by the number of pieces to get the total board feet

      2.8125×12=33.75 BF
    5. Find the cost: total board feet times the price per board foot

      33.75×$3.00=$101.25
    6. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      33.7512=2.8125 ft³
  7. 7. Total board feet: 32.625 BF

    1. Find the real thickness: a board sold as 1 in is dried and planed 0.25 in thinner

      1−0.25=0.75 in
    2. Find the real width: a width sold as 8 in loses 0.75 in

      8−0.75=7.25 in
    3. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      0.75×7.25×612=2.71875 BF
    4. Multiply by the number of pieces to get the total board feet

      2.71875×12=32.625 BF
    5. Find the cost: total board feet times the price per board foot

      32.625×$3.60=$117.45
    6. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      32.62512=2.71875 ft³
  8. 8. Total board feet: 32 BF

    1. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      1×6×812=4 BF
    2. Multiply by the number of pieces to get the total board feet

      4×8=32 BF
    3. Find the cost: total board feet times the price per board foot

      32×$3.40=$108.80
    4. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      3212=2.666667 ft³
  9. 9. Total board feet: 31.281 BF

    1. Find the real thickness: a board sold as 1 in is dried and planed 0.25 in thinner

      1−0.25=0.75 in
    2. Find the real width: a width sold as 7 in loses 0.5 in

      7−0.5=6.5 in
    3. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      0.75×6.5×712=2.84375 BF
    4. Multiply by the number of pieces to get the total board feet

      2.84375×11=31.28125 BF
    5. Find the cost: total board feet times the price per board foot

      31.28125×$4.60=$143.89
    6. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      31.2812512=2.606771 ft³
  10. 10. Total board feet: 37.5 BF

    1. Find the board feet in one piece: multiply thickness and width in inches by length in feet, then divide by 12

      1×5×912=3.75 BF
    2. Multiply by the number of pieces to get the total board feet

      3.75×10=37.5 BF
    3. Find the cost: total board feet times the price per board foot

      37.5×$4.00=$150.00
    4. One board foot is 144 cubic inches, so 12 board feet make one cubic foot

      37.512=3.125 ft³