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Sheathing worksheet

Grades 7–8 · CCSS 7.G.B.6, 8.G.B.7

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

  1. Problem 1.
    • What are you sheathing?: Floor or deck
    • Floor length: 34 ft
    • Floor width: 18 ft
    • Sheet size: 4 × 8 ft (32 ft²)
    • Waste allowance: 9%

    Find: 4 × 8 ft sheets to buy

  2. Problem 2.
    • What are you sheathing?: Walls
    • Total wall length: 32 ft
    • Wall height: 5 ft
    • Door and window area to subtract: 0 ft²
    • Sheet size: 4 × 8 ft (32 ft²)
    • Waste allowance: 11%

    Find: 4 × 8 ft sheets to buy

  3. Problem 3.
    • What are you sheathing?: Floor or deck
    • Floor length: 26 ft
    • Floor width: 20 ft
    • Sheet size: 4 × 9 ft (36 ft²)
    • Waste allowance: 8%

    Find: 4 × 9 ft sheets to buy

  4. Problem 4.
    • What are you sheathing?: Walls
    • Total wall length: 33 ft
    • Wall height: 9 ft
    • Door and window area to subtract: 0 ft²
    • Sheet size: 4 × 10 ft (40 ft²)
    • Waste allowance: 10%

    Find: 4 × 10 ft sheets to buy

  5. Problem 5.
    • What are you sheathing?: Gable roof
    • Building length (along the ridge): 55 ft
    • Building width (eave to eave): 20 ft
    • Overhang on each side: 2 ft
    • Roof pitch: rise per 12 of run: 7 / 12
    • Sheet size: 4 × 10 ft (40 ft²)
    • Waste allowance: 10%

    Find: 4 × 10 ft sheets to buy

  6. Problem 6.
    • What are you sheathing?: Floor or deck
    • Floor length: 26 ft
    • Floor width: 19 ft
    • Sheet size: 4 × 8 ft (32 ft²)
    • Waste allowance: 10%

    Find: 4 × 8 ft sheets to buy

  7. Problem 7.
    • What are you sheathing?: Floor or deck
    • Floor length: 17 ft
    • Floor width: 17 ft
    • Sheet size: 4 × 9 ft (36 ft²)
    • Waste allowance: 9%

    Find: 4 × 9 ft sheets to buy

  8. Problem 8.
    • What are you sheathing?: Walls
    • Total wall length: 46 ft
    • Wall height: 8 ft
    • Door and window area to subtract: 0 ft²
    • Sheet size: 4 × 10 ft (40 ft²)
    • Waste allowance: 9%

    Find: 4 × 10 ft sheets to buy

  9. Problem 9.
    • What are you sheathing?: Gable roof
    • Building length (along the ridge): 26 ft
    • Building width (eave to eave): 26 ft
    • Overhang on each side: 2 ft
    • Roof pitch: rise per 12 of run: 5 / 12
    • Sheet size: 4 × 10 ft (40 ft²)
    • Waste allowance: 13%

    Find: 4 × 10 ft sheets to buy

  10. Problem 10.
    • What are you sheathing?: Walls
    • Total wall length: 36 ft
    • Wall height: 7 ft
    • Door and window area to subtract: 0 ft²
    • Sheet size: 4 × 8 ft (32 ft²)
    • Waste allowance: 11%

    Find: 4 × 8 ft sheets to buy

Answer key: Sheathing worksheet

  1. 1. 4 × 8 ft sheets to buy: 21

    1. Find the floor area: length × width

      34×18=612 ft²
    2. Add 9% for cutting waste, divide by the 32 ft² one 4 × 8 ft sheet covers, and round up to whole sheets

      612×1.0932=20.8463=rounded up:21
  2. 2. 4 × 8 ft sheets to buy: 6

    1. Find the total wall area: wall length × wall height

      32×5=160 ft²
    2. Add 11% for cutting waste, divide by the 32 ft² one 4 × 8 ft sheet covers, and round up to whole sheets

      160×1.1132=5.55=rounded up:6
  3. 3. 4 × 9 ft sheets to buy: 16

    1. Find the floor area: length × width

      26×20=520 ft²
    2. Add 8% for cutting waste, divide by the 36 ft² one 4 × 9 ft sheet covers, and round up to whole sheets

      520×1.0836=15.6=rounded up:16
  4. 4. 4 × 10 ft sheets to buy: 9

    1. Find the total wall area: wall length × wall height

      33×9=297 ft²
    2. Add 10% for cutting waste, divide by the 40 ft² one 4 × 10 ft sheet covers, and round up to whole sheets

      297×1.140=8.1675=rounded up:9
  5. 5. 4 × 10 ft sheets to buy: 46

    1. Find the roof's flat area seen from above. Add the overhang to both ends of each side, since the deck hangs past the walls

      59×24=1,416 ft²
    2. Find the slope factor for a 7/12 pitch: how much longer a sloped foot of roof is than a level one

      122+7212=1.157704
    3. Multiply the flat area by the slope factor to get the true area of both roof slopes

      1,416×1.157704=1,639.3084 ft²
    4. Add 10% for cutting waste, divide by the 40 ft² one 4 × 10 ft sheet covers, and round up to whole sheets

      1,639.3084×1.140=45.081=rounded up:46
  6. 6. 4 × 8 ft sheets to buy: 17

    1. Find the floor area: length × width

      26×19=494 ft²
    2. Add 10% for cutting waste, divide by the 32 ft² one 4 × 8 ft sheet covers, and round up to whole sheets

      494×1.132=16.9813=rounded up:17
  7. 7. 4 × 9 ft sheets to buy: 9

    1. Find the floor area: length × width

      17×17=289 ft²
    2. Add 9% for cutting waste, divide by the 36 ft² one 4 × 9 ft sheet covers, and round up to whole sheets

      289×1.0936=8.7503=rounded up:9
  8. 8. 4 × 10 ft sheets to buy: 11

    1. Find the total wall area: wall length × wall height

      46×8=368 ft²
    2. Add 9% for cutting waste, divide by the 40 ft² one 4 × 10 ft sheet covers, and round up to whole sheets

      368×1.0940=10.028=rounded up:11
  9. 9. 4 × 10 ft sheets to buy: 28

    1. Find the roof's flat area seen from above. Add the overhang to both ends of each side, since the deck hangs past the walls

      30×30=900 ft²
    2. Find the slope factor for a 5/12 pitch: how much longer a sloped foot of roof is than a level one

      122+5212=1.083333
    3. Multiply the flat area by the slope factor to get the true area of both roof slopes

      900×1.083333=975 ft²
    4. Add 13% for cutting waste, divide by the 40 ft² one 4 × 10 ft sheet covers, and round up to whole sheets

      975×1.1340=27.5437=rounded up:28
  10. 10. 4 × 8 ft sheets to buy: 9

    1. Find the total wall area: wall length × wall height

      36×7=252 ft²
    2. Add 11% for cutting waste, divide by the 32 ft² one 4 × 8 ft sheet covers, and round up to whole sheets

      252×1.1132=8.7413=rounded up:9