Name Date
Insulation worksheet
Grades 6–7 · CCSS 6.RP.A.3.b
Calcapedia 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer
- 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
Answer key: Insulation worksheet
Calcapedia 1. Thickness to add: 7.5 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (4 for expanded polystyrene board (eps)) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
2. Thickness to add: 7.58 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 8% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
3. Thickness to add: 7.88 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 15% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
4. Thickness to add: 10 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (3.2 for fiberglass batts) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 11% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
5. Thickness to add: 4.83 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (6 for polyisocyanurate board) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
6. Thickness to add: 1.2 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (5 for extruded polystyrene board (xps)) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 7% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
7. Thickness to add: 7.23 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (6.5 for closed-cell spray foam) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
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
8. Thickness to add: 12.8 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (2.5 for blown (loose-fill) fiberglass) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 8% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
9. Thickness to add: 11 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (4 for expanded polystyrene board (eps)) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 10% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package
10. Thickness to add: 6.97 in
R-values stack, so subtract what you have from the target to see how much R to add (never below zero)
Divide that by the R each inch gives (3.3 for mineral wool batts) to get the thickness to add
Multiply the area by the thickness for the volume in board feet (1 ft² one inch thick). Divide by 12 for cubic feet
Add 9% for waste, then divide the area by what one package covers. Round up, since you can't buy part of a package