Name Date
Box Fill worksheet
Grade 6 · CCSS 6.NS.B.3
Calcapedia Solve each problem and show your work. Round answers to 2 decimal places where needed.
- 1.
Problem 1. - 14 AWG conductors: 0
- 12 AWG conductors: 5
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 0
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 8 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: 10 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 13 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 2.
Problem 2. - 14 AWG conductors: 0
- 12 AWG conductors: 4
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 0
- Other conductors: 3
- Allowance per other conductor: 1.4 in³
- Equipment grounding wires: 2
- Largest grounding wire: 8 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: 14 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 3
- Box volume: 18 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 3.
Problem 3. - 14 AWG conductors: 0
- 12 AWG conductors: 5
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 0
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 6 AWG
- Code edition for grounding wires: 2017 NEC or earlier
- Devices (switches, receptacles): 2
- Largest wire connected to the devices: 8 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 14 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 4.
Problem 4. - 14 AWG conductors: 0
- 12 AWG conductors: 4
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 2
- Other conductors: 0
- Equipment grounding wires: 1
- Largest grounding wire: 10 AWG
- Code edition for grounding wires: 2017 NEC or earlier
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: Same as the largest wire in the box
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 18 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 5.
Problem 5. - 14 AWG conductors: 1
- 12 AWG conductors: 4
- 10 AWG conductors: 0
- 8 AWG conductors: 1
- 6 AWG conductors: 0
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 6 AWG
- Code edition for grounding wires: 2017 NEC or earlier
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: 6 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 24 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 6.
Problem 6. - 14 AWG conductors: 1
- 12 AWG conductors: 5
- 10 AWG conductors: 1
- 8 AWG conductors: 0
- 6 AWG conductors: 0
- Other conductors: 1
- Allowance per other conductor: 2.2 in³
- Equipment grounding wires: 2
- Largest grounding wire: 12 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 2
- Largest wire connected to the devices: 14 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 2
- Box volume: 15 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 7.
Problem 7. - 14 AWG conductors: 0
- 12 AWG conductors: 4
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 1
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 6 AWG
- Code edition for grounding wires: 2017 NEC or earlier
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: 12 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 1
- Box volume: 16 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 8.
Problem 8. - 14 AWG conductors: 0
- 12 AWG conductors: 5
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 0
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 8 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: Same as the largest wire in the box
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 15 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 9.
Problem 9. - 14 AWG conductors: 0
- 12 AWG conductors: 5
- 10 AWG conductors: 0
- 8 AWG conductors: 0
- 6 AWG conductors: 3
- Other conductors: 0
- Equipment grounding wires: 2
- Largest grounding wire: 14 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: Same as the largest wire in the box
- The box has internal cable clamps: No
- Fixture studs or hickeys: 0
- Box volume: 15 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
- 10.
Problem 10. - 14 AWG conductors: 2
- 12 AWG conductors: 5
- 10 AWG conductors: 1
- 8 AWG conductors: 0
- 6 AWG conductors: 3
- Other conductors: 0
- Equipment grounding wires: 3
- Largest grounding wire: 6 AWG
- Code edition for grounding wires: 2020 NEC or later
- Devices (switches, receptacles): 1
- Largest wire connected to the devices: 8 AWG
- The box has internal cable clamps: No
- Fixture studs or hickeys: 3
- Box volume: 16 in³
- Extension rings or raised covers: 0 in³
Find: Volume required
Answer
Answer key: Box Fill worksheet
Calcapedia 1. Volume required: 19.25 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 8 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
2. Volume required: 26.95 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 8 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Fixture studs and hickeys: one allowance each at the largest wire (NEC 314.16(B)(3))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
3. Volume required: 28.25 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for all of them (NEC 314.16(B)(5), editions before 2020), at the 6 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
4. Volume required: 31.5 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for all of them (NEC 314.16(B)(5), editions before 2020), at the 10 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
5. Volume required: 29 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for all of them (NEC 314.16(B)(5), editions before 2020), at the 6 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
6. Volume required: 33.2 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 12 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Fixture studs and hickeys: one allowance each at the largest wire (NEC 314.16(B)(3))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
7. Volume required: 28.5 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for all of them (NEC 314.16(B)(5), editions before 2020), at the 6 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Fixture studs and hickeys: one allowance each at the largest wire (NEC 314.16(B)(3))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
8. Volume required: 18.75 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 8 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
9. Volume required: 38.25 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 14 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be
10. Volume required: 58.75 in³
Conductors: each counts once at the allowance for its size (NEC 314.16(B)(1))
Grounding wires: one allowance for up to four, plus a quarter for each extra (NEC 314.16(B)(5), 2020 and later), at the 6 AWG allowance
Devices: two allowances per yoke or strap, at the largest wire connected to it (NEC 314.16(B)(4))
Fixture studs and hickeys: one allowance each at the largest wire (NEC 314.16(B)(3))
Add up every item to get the total volume the box must have
Subtract the required volume from the space available: there is a shortfall, so the box is too small
Share of the box volume used, which shows how crowded the box will be