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Rebar worksheet

Grades 5–6

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

  1. Problem 1.
    • Units: Metric (meters, cm, kg)
    • Slab length: 13 m
    • Slab width: 7 m
    • Grid spacing (center to center): 26 cm
    • Edge clearance: 6 cm
    • Stock bar length: 6 m
    • Lap splice length: 45 cm
    • Bar size (for weight): #3 (3/8 in, 10 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  2. Problem 2.
    • Units: Metric (meters, cm, kg)
    • Slab length: 11 m
    • Slab width: 5 m
    • Grid spacing (center to center): 24 cm
    • Edge clearance: 6.2 cm
    • Stock bar length: 7 m
    • Lap splice length: 50 cm
    • Bar size (for weight): #4 (1/2 in, 13 mm)
    • Extra for cutting waste: 7%

    Find: Total rebar length (with laps and waste)

  3. Problem 3.
    • Units: Metric (meters, cm, kg)
    • Slab length: 8 m
    • Slab width: 8 m
    • Grid spacing (center to center): 34 cm
    • Edge clearance: 7.6 cm
    • Stock bar length: 6 m
    • Lap splice length: 50 cm
    • Bar size (for weight): #8 (1 in, 25 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  4. Problem 4.
    • Units: US (feet, inches, lb)
    • Slab length: 30 ft
    • Slab width: 13 ft
    • Grid spacing (center to center): 11 in
    • Edge clearance: 3 in
    • Stock bar length: 23 ft
    • Lap splice length: 18 in
    • Bar size (for weight): #3 (3/8 in, 10 mm)
    • Extra for cutting waste: 5%

    Find: Total rebar length (with laps and waste)

  5. Problem 5.
    • Units: Metric (meters, cm, kg)
    • Slab length: 6 m
    • Slab width: 7 m
    • Grid spacing (center to center): 40 cm
    • Edge clearance: 6 cm
    • Stock bar length: 8 m
    • Lap splice length: 32 cm
    • Bar size (for weight): #7 (7/8 in, 22 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  6. Problem 6.
    • Units: US (feet, inches, lb)
    • Slab length: 32 ft
    • Slab width: 20 ft
    • Grid spacing (center to center): 10 in
    • Edge clearance: 2 in
    • Stock bar length: 20 ft
    • Lap splice length: 20 in
    • Bar size (for weight): #8 (1 in, 25 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  7. Problem 7.
    • Units: US (feet, inches, lb)
    • Slab length: 28 ft
    • Slab width: 17 ft
    • Grid spacing (center to center): 11 in
    • Edge clearance: 3 in
    • Stock bar length: 23 ft
    • Lap splice length: 20 in
    • Bar size (for weight): #7 (7/8 in, 22 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  8. Problem 8.
    • Units: Metric (meters, cm, kg)
    • Slab length: 7 m
    • Slab width: 6 m
    • Grid spacing (center to center): 20 cm
    • Edge clearance: 9 cm
    • Stock bar length: 7 m
    • Lap splice length: 50 cm
    • Bar size (for weight): #6 (3/4 in, 19 mm)
    • Extra for cutting waste: 3%

    Find: Total rebar length (with laps and waste)

  9. Problem 9.
    • Units: US (feet, inches, lb)
    • Slab length: 32 ft
    • Slab width: 18 ft
    • Grid spacing (center to center): 14 in
    • Edge clearance: 2 in
    • Stock bar length: 24 ft
    • Lap splice length: 24 in
    • Bar size (for weight): #3 (3/8 in, 10 mm)
    • Extra for cutting waste: 4%

    Find: Total rebar length (with laps and waste)

  10. Problem 10.
    • Units: Metric (meters, cm, kg)
    • Slab length: 9 m
    • Slab width: 5 m
    • Grid spacing (center to center): 36 cm
    • Edge clearance: 5.5 cm
    • Stock bar length: 7 m
    • Lap splice length: 50 cm
    • Bar size (for weight): #3 (3/8 in, 10 mm)
    • Extra for cutting waste: 6%

    Find: Total rebar length (with laps and waste)

Answer key: Rebar worksheet

  1. 1. Total rebar length (with laps and waste): 768.1 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (7−2×0.06)0.26+1=rounded down:27
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (13−2×0.06)0.26+1=rounded down:50
    3. Each run lengthwise is longer than a stock bar, so it takes 3 pieces joined by 2 laps. Each overlap adds its length to the steel needed

      12.88+2×0.45=13.78 m
    4. Each run widthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      6.88+1×0.45=7.33 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      27×13.78+50×7.33=738.56 m
    6. Add 4% for offcuts too short to reuse

      738.56×1+0.04=768.1024 m
    7. Divide the total by the 6 m stock length and round up, since you can only buy whole bars

      768.10246=128.0171=rounded up:129
    8. Multiply the total length by 0.5595 kg/m, the standard listed weight of #3 bar

      768.1024×0.55955=429.791424 kg
  2. 2. Total rebar length (with laps and waste): 495.62 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (5−2×0.062)0.24+1=rounded down:21
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (11−2×0.062)0.24+1=rounded down:46
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      10.876+1×0.5=11.376 m
    4. Each bar widthwise is 4.876 m, which fits in one 7 m stock bar with no splice

      5−2×0.062=4.876 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      21×11.376+46×4.876=463.192 m
    6. Add 7% for offcuts too short to reuse

      463.192×1+0.07=495.61544 m
    7. Divide the total by the 7 m stock length and round up, since you can only buy whole bars

      495.615447=70.8022=rounded up:71
    8. Multiply the total length by 0.9941 kg/m, the standard listed weight of #4 bar

      495.61544×0.994094=492.688094 kg
  3. 3. Total rebar length (with laps and waste): 416.73 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (8−2×0.076)0.34+1=rounded down:24
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (8−2×0.076)0.34+1=rounded down:24
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      7.848+1×0.5=8.348 m
    4. Each run widthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      7.848+1×0.5=8.348 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      24×8.348+24×8.348=400.704 m
    6. Add 4% for offcuts too short to reuse

      400.704×1+0.04=416.73216 m
    7. Divide the total by the 6 m stock length and round up, since you can only buy whole bars

      416.732166=69.4554=rounded up:70
    8. Multiply the total length by 3.9734 kg/m, the standard listed weight of #8 bar

      416.73216×3.973398=1,655.842618 kg
  4. 4. Total rebar length (with laps and waste): 888.83 ft

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (13−2×0.25)0.916667+1=rounded down:14
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (30−2×0.25)0.916667+1=rounded down:33
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      29.5+1×1.5=31 ft
    4. Each bar widthwise is 12.5 ft, which fits in one 23 ft stock bar with no splice

      13−2×0.25=12.5 ft
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      14×31+33×12.5=846.5 ft
    6. Add 5% for offcuts too short to reuse

      846.5×1+0.05=888.825 ft
    7. Divide the total by the 23 ft stock length and round up, since you can only buy whole bars

      888.82523=38.6446=rounded up:39
    8. Multiply the total length by 0.376 lb/ft, the standard listed weight of #3 bar

      888.825×0.376=334.1982 lb
  5. 5. Total rebar length (with laps and waste): 217.4 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (7−2×0.06)0.4+1=rounded down:18
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (6−2×0.06)0.4+1=rounded down:15
    3. Each bar lengthwise is 5.88 m, which fits in one 8 m stock bar with no splice

      6−2×0.06=5.88 m
    4. Each bar widthwise is 6.88 m, which fits in one 8 m stock bar with no splice

      7−2×0.06=6.88 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      18×5.88+15×6.88=209.04 m
    6. Add 4% for offcuts too short to reuse

      209.04×1+0.04=217.4016 m
    7. Divide the total by the 8 m stock length and round up, since you can only buy whole bars

      217.40168=27.1752=rounded up:28
    8. Multiply the total length by 3.0418 kg/m, the standard listed weight of #7 bar

      217.4016×3.041807=661.293731 kg
  6. 6. Total rebar length (with laps and waste): 1,629.68 ft

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (20−2×0.166667)0.833333+1=rounded down:24
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (32−2×0.166667)0.833333+1=rounded down:39
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      31.666667+1×1.666667=33.333333 ft
    4. Each bar widthwise is 19.6667 ft, which fits in one 20 ft stock bar with no splice

      20−2×0.166667=19.666667 ft
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      24×33.333333+39×19.666667=1,567 ft
    6. Add 4% for offcuts too short to reuse

      1,567×1+0.04=1,629.68 ft
    7. Divide the total by the 20 ft stock length and round up, since you can only buy whole bars

      1,629.6820=81.484=rounded up:82
    8. Multiply the total length by 2.67 lb/ft, the standard listed weight of #8 bar

      1,629.68×2.67=4,351.2456 lb
  7. 7. Total rebar length (with laps and waste): 1,108.29 ft

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (17−2×0.25)0.916667+1=rounded down:19
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (28−2×0.25)0.916667+1=rounded down:31
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      27.5+1×1.666667=29.166667 ft
    4. Each bar widthwise is 16.5 ft, which fits in one 23 ft stock bar with no splice

      17−2×0.25=16.5 ft
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      19×29.166667+31×16.5=1,065.666667 ft
    6. Add 4% for offcuts too short to reuse

      1,065.666667×1+0.04=1,108.293333 ft
    7. Divide the total by the 23 ft stock length and round up, since you can only buy whole bars

      1,108.29333323=48.1867=rounded up:49
    8. Multiply the total length by 2.044 lb/ft, the standard listed weight of #7 bar

      1,108.293333×2.044=2,265.351573 lb
  8. 8. Total rebar length (with laps and waste): 420.55 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (6−2×0.09)0.2+1=rounded down:30
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (7−2×0.09)0.2+1=rounded down:35
    3. Each bar lengthwise is 6.82 m, which fits in one 7 m stock bar with no splice

      7−2×0.09=6.82 m
    4. Each bar widthwise is 5.82 m, which fits in one 7 m stock bar with no splice

      6−2×0.09=5.82 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      30×6.82+35×5.82=408.3 m
    6. Add 3% for offcuts too short to reuse

      408.3×1+0.03=420.549 m
    7. Divide the total by the 7 m stock length and round up, since you can only buy whole bars

      420.5497=60.0784=rounded up:61
    8. Multiply the total length by 2.2352 kg/m, the standard listed weight of #6 bar

      420.549×2.235222=940.020479 kg
  9. 9. Total rebar length (with laps and waste): 1,074.67 ft

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (18−2×0.166667)1.166667+1=rounded down:16
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (32−2×0.166667)1.166667+1=rounded down:28
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      31.666667+1×2=33.666667 ft
    4. Each bar widthwise is 17.6667 ft, which fits in one 24 ft stock bar with no splice

      18−2×0.166667=17.666667 ft
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      16×33.666667+28×17.666667=1,033.333333 ft
    6. Add 4% for offcuts too short to reuse

      1,033.333333×1+0.04=1,074.666667 ft
    7. Divide the total by the 24 ft stock length and round up, since you can only buy whole bars

      1,074.66666724=44.7778=rounded up:45
    8. Multiply the total length by 0.376 lb/ft, the standard listed weight of #3 bar

      1,074.666667×0.376=404.074667 lb
  10. 10. Total rebar length (with laps and waste): 268.93 m

    1. Count the lengthwise bars: take the slab width minus both edge gaps, divide by the spacing and round down. Add 1, since a row has one more bar than gaps

      (5−2×0.055)0.36+1=rounded down:14
    2. Count the widthwise bars the same way, using the slab length minus both edge gaps

      (9−2×0.055)0.36+1=rounded down:25
    3. Each run lengthwise is longer than a stock bar, so it takes 2 pieces joined by 1 lap. Each overlap adds its length to the steel needed

      8.89+1×0.5=9.39 m
    4. Each bar widthwise is 4.89 m, which fits in one 7 m stock bar with no splice

      5−2×0.055=4.89 m
    5. Add up the steel in the grid: number of bars times length per bar, in each direction

      14×9.39+25×4.89=253.71 m
    6. Add 6% for offcuts too short to reuse

      253.71×1+0.06=268.9326 m
    7. Divide the total by the 7 m stock length and round up, since you can only buy whole bars

      268.93267=38.4189=rounded up:39
    8. Multiply the total length by 0.5595 kg/m, the standard listed weight of #3 bar

      268.9326×0.55955=150.48114 kg