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Insulation worksheet

Grades 6–7 · CCSS 6.RP.A.3.b

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

  1. Problem 1.
    • Area to insulate: 1,000 ft²
    • Target total R-value: 52
    • R-value already in place: 22
    • Insulation type: Expanded polystyrene board (EPS) (about R-4 per inch)
    • Coverage per bag, bundle or board: 26 ft²
    • Waste allowance: 9%

    Find: Thickness to add

  2. Problem 2.
    • Area to insulate: 900 ft²
    • Target total R-value: 45
    • R-value already in place: 20
    • Insulation type: Mineral wool batts (about R-3.3 per inch)
    • Coverage per bag, bundle or board: 40 ft²
    • Waste allowance: 8%

    Find: Thickness to add

  3. Problem 3.
    • Area to insulate: 1,000 ft²
    • Target total R-value: 50
    • R-value already in place: 24
    • Insulation type: Mineral wool batts (about R-3.3 per inch)
    • Coverage per bag, bundle or board: 50 ft²
    • Waste allowance: 15%

    Find: Thickness to add

  4. Problem 4.
    • Area to insulate: 1,200 ft²
    • Target total R-value: 55
    • R-value already in place: 23
    • Insulation type: Fiberglass batts (about R-3.2 per inch)
    • Coverage per bag, bundle or board: 28 ft²
    • Waste allowance: 11%

    Find: Thickness to add

  5. Problem 5.
    • Area to insulate: 950 ft²
    • Target total R-value: 45
    • R-value already in place: 16
    • Insulation type: Polyisocyanurate board (about R-6 per inch)
    • Coverage per bag, bundle or board: 30 ft²
    • Waste allowance: 9%

    Find: Thickness to add

  6. Problem 6.
    • Area to insulate: 1,300 ft²
    • Target total R-value: 28
    • R-value already in place: 22
    • Insulation type: Extruded polystyrene board (XPS) (about R-5 per inch)
    • Coverage per bag, bundle or board: 40 ft²
    • Waste allowance: 7%

    Find: Thickness to add

  7. Problem 7.
    • Area to insulate: 1,000 ft²
    • Target total R-value: 62
    • R-value already in place: 15
    • Insulation type: Closed-cell spray foam (about R-6.5 per inch)
    • Coverage per bag, bundle or board: 42 ft²
    • Waste allowance: 8%

    Find: Thickness to add

  8. Problem 8.
    • Area to insulate: 900 ft²
    • Target total R-value: 52
    • R-value already in place: 20
    • Insulation type: Blown (loose-fill) fiberglass (about R-2.5 per inch)
    • Coverage per bag, bundle or board: 28 ft²
    • Waste allowance: 8%

    Find: Thickness to add

  9. Problem 9.
    • Area to insulate: 940 ft²
    • Target total R-value: 60
    • R-value already in place: 16
    • Insulation type: Expanded polystyrene board (EPS) (about R-4 per inch)
    • Coverage per bag, bundle or board: 36 ft²
    • Waste allowance: 10%

    Find: Thickness to add

  10. Problem 10.
    • Area to insulate: 900 ft²
    • Target total R-value: 45
    • R-value already in place: 22
    • Insulation type: Mineral wool batts (about R-3.3 per inch)
    • Coverage per bag, bundle or board: 36 ft²
    • Waste allowance: 9%

    Find: Thickness to add

Answer key: Insulation worksheet

  1. 1. Thickness to add: 7.5 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      52−22=30
    2. Divide that by the R each inch gives (4 for expanded polystyrene board (eps)) to get the thickness to add

      304=7.5 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      1,000×7.5=7,500 board ft=625 ft³
    4. Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      1,000×1.0926=41.9231=rounded up:42
  2. 2. Thickness to add: 7.58 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      45−20=25
    2. Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add

      253.3=7.5758 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      900×7.5758=6,818.18 board ft=568.18 ft³
    4. Add 8% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      900×1.0840=24.3=rounded up:25
  3. 3. Thickness to add: 7.88 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      50−24=26
    2. Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add

      263.3=7.8788 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      1,000×7.8788=7,878.79 board ft=656.57 ft³
    4. Add 15% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      1,000×1.1550=23=rounded up:23
  4. 4. Thickness to add: 10 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      55−23=32
    2. Divide that by the R each inch gives (3.2 for fiberglass batts) to get the thickness to add

      323.2=10 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      1,200×10=12,000 board ft=1,000 ft³
    4. Add 11% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      1,200×1.1128=47.5714=rounded up:48
  5. 5. Thickness to add: 4.83 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      45−16=29
    2. Divide that by the R each inch gives (6 for polyisocyanurate board) to get the thickness to add

      296=4.8333 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      950×4.8333=4,591.67 board ft=382.64 ft³
    4. Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      950×1.0930=34.5167=rounded up:35
  6. 6. Thickness to add: 1.2 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      28−22=6
    2. Divide that by the R each inch gives (5 for extruded polystyrene board (xps)) to get the thickness to add

      65=1.2 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      1,300×1.2=1,560 board ft=130 ft³
    4. Add 7% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      1,300×1.0740=34.775=rounded up:35
  7. 7. Thickness to add: 7.23 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      62−15=47
    2. Divide that by the R each inch gives (6.5 for closed-cell spray foam) to get the thickness to add

      476.5=7.2308 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      1,000×7.2308=7,230.77 board ft=602.56 ft³
    4. Add 8% for waste, then divide the board feet by what one kit covers. Round up, since you can't buy part of a kit

      7,230.77×1.0842=185.9341=rounded up:186
  8. 8. Thickness to add: 12.8 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      52−20=32
    2. Divide that by the R each inch gives (2.5 for blown (loose-fill) fiberglass) to get the thickness to add

      322.5=12.8 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      900×12.8=11,520 board ft=960 ft³
    4. Add 8% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      900×1.0828=34.7143=rounded up:35
  9. 9. Thickness to add: 11 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      60−16=44
    2. Divide that by the R each inch gives (4 for expanded polystyrene board (eps)) to get the thickness to add

      444=11 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      940×11=10,340 board ft=861.67 ft³
    4. Add 10% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      940×1.136=28.7222=rounded up:29
  10. 10. Thickness to add: 6.97 in

    1. R-values stack, so subtract what you have from the target to see how much R to add (never below zero)

      45−22=23
    2. Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add

      233.3=6.9697 in
    3. Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet

      900×6.9697=6,272.73 board ft=522.73 ft³
    4. Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package

      900×1.0936=27.25=rounded up:28