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Battery Life worksheet

Grades 6–7 · CCSS 6.RP.A.3.b, 6.RP.A.3.d

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

  1. Problem 1.
    • Battery capacity: 2,750 mAh
    • Battery voltage (rated): 4 V
    • Device load: 280 mA
    • Usable capacity: 64%

    Find: Estimated runtime

  2. Problem 2.
    • Battery capacity: 2,500 mAh
    • Battery voltage (rated): 2.4 V
    • Device load: 270 mA
    • Usable capacity: 100%

    Find: Estimated runtime

  3. Problem 3.
    • Battery capacity: 3,500 mAh
    • Battery voltage (rated): 3.2 V
    • Device load: 200 mA
    • Usable capacity: 70%

    Find: Estimated runtime

  4. Problem 4.
    • Battery capacity: 3,250 mAh
    • Battery voltage (rated): 3.6 V
    • Device load: 350 mA
    • Usable capacity: 98%

    Find: Estimated runtime

  5. Problem 5.
    • Battery capacity: 3,600 mAh
    • Battery voltage (rated): 4 V
    • Device load: 310 mA
    • Usable capacity: 68%

    Find: Estimated runtime

  6. Problem 6.
    • Battery capacity: 3,200 mAh
    • Battery voltage (rated): 4.4 V
    • Device load: 250 mA
    • Usable capacity: 85%

    Find: Estimated runtime

  7. Problem 7.
    • Battery capacity: 2,000 mAh
    • Battery voltage (rated): 3.4 V
    • Device load: 225 mA
    • Usable capacity: 95%

    Find: Estimated runtime

  8. Problem 8.
    • Battery capacity: 2,750 mAh
    • Battery voltage (rated): 3.4 V
    • Device load: 280 mA
    • Usable capacity: 74%

    Find: Estimated runtime

  9. Problem 9.
    • Battery capacity: 3,750 mAh
    • Battery voltage (rated): 3.8 V
    • Device load: 180 mA
    • Usable capacity: 84%

    Find: Estimated runtime

  10. Problem 10.
    • Battery capacity: 2,700 mAh
    • Battery voltage (rated): 3.4 V
    • Device load: 260 mA
    • Usable capacity: 90%

    Find: Estimated runtime

Answer key: Battery Life worksheet

  1. 1. Estimated runtime: 6.29 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      2,750 mAh×64%=1,760 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=1,760 mAh280 mA=6.285714 h
    3. Write the runtime in days, hours and minutes

      6.2857 h=6 h 17 min 9 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      2,750×41,000=11 Wh
  2. 2. Estimated runtime: 9.26 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      2,500 mAh×100%=2,500 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,500 mAh270 mA=9.259259 h
    3. Write the runtime in days, hours and minutes

      9.2593 h=9 h 15 min 33 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      2,500×2.41,000=6 Wh
  3. 3. Estimated runtime: 12.25 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      3,500 mAh×70%=2,450 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,450 mAh200 mA=12.25 h
    3. Write the runtime in days, hours and minutes

      12.25 h=12 h 15 min
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      3,500×3.21,000=11.2 Wh
  4. 4. Estimated runtime: 9.1 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      3,250 mAh×98%=3,185 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=3,185 mAh350 mA=9.1 h
    3. Write the runtime in days, hours and minutes

      9.1 h=9 h 6 min
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      3,250×3.61,000=11.7 Wh
  5. 5. Estimated runtime: 7.9 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      3,600 mAh×68%=2,448 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,448 mAh310 mA=7.896774 h
    3. Write the runtime in days, hours and minutes

      7.8968 h=7 h 53 min 48 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      3,600×41,000=14.4 Wh
  6. 6. Estimated runtime: 10.88 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      3,200 mAh×85%=2,720 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,720 mAh250 mA=10.88 h
    3. Write the runtime in days, hours and minutes

      10.88 h=10 h 52 min 48 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      3,200×4.41,000=14.08 Wh
  7. 7. Estimated runtime: 8.44 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      2,000 mAh×95%=1,900 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=1,900 mAh225 mA=8.444444 h
    3. Write the runtime in days, hours and minutes

      8.4444 h=8 h 26 min 40 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      2,000×3.41,000=6.8 Wh
  8. 8. Estimated runtime: 7.27 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      2,750 mAh×74%=2,035 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,035 mAh280 mA=7.267857 h
    3. Write the runtime in days, hours and minutes

      7.2679 h=7 h 16 min 4 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      2,750×3.41,000=9.35 Wh
  9. 9. Estimated runtime: 17.5 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      3,750 mAh×84%=3,150 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=3,150 mAh180 mA=17.5 h
    3. Write the runtime in days, hours and minutes

      17.5 h=17 h 30 min
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      3,750×3.81,000=14.25 Wh
  10. 10. Estimated runtime: 9.35 h

    1. Keep only the usable share of the capacity, since some is lost in real use

      2,700 mAh×90%=2,430 mAh
    2. Divide the usable charge by the current the device draws. This gives the runtime in hours

      t=2,430 mAh260 mA=9.346154 h
    3. Write the runtime in days, hours and minutes

      9.3462 h=9 h 20 min 46 s
    4. For reference, the capacity in watt-hours at this voltage: Wh = mAh × V ÷ 1,000

      2,700×3.41,000=9.18 Wh