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Pressure worksheet

Grades 6–7 · CCSS 6.RP.A.3.d

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

  1. Problem 1.
    • Pressure: 42
    • From: Pounds per square inch (psi)
    • To: Pascals (Pa)

    Find: In pascals

  2. Problem 2.
    • Pressure: 34
    • From: Pounds per square inch (psi)
    • To: Millimeters of mercury (mmHg)

    Find: In millimeters of mercury

  3. Problem 3.
    • Pressure: 24
    • From: Hectopascals / millibars (hPa)
    • To: Bars (bar)

    Find: In bars

  4. Problem 4.
    • Pressure: 20
    • From: Megapascals (MPa)
    • To: Millimeters of mercury (mmHg)

    Find: In millimeters of mercury

  5. Problem 5.
    • Pressure: 26
    • From: Standard atmospheres (atm)
    • To: Millimeters of mercury (mmHg)

    Find: In millimeters of mercury

  6. Problem 6.
    • Pressure: 36
    • From: Millimeters of mercury (mmHg)
    • To: Hectopascals / millibars (hPa)

    Find: In hectopascals / millibars

  7. Problem 7.
    • Pressure: 24
    • From: Kilopascals (kPa)
    • To: Millimeters of mercury (mmHg)

    Find: In millimeters of mercury

  8. Problem 8.
    • Pressure: 25
    • From: Hectopascals / millibars (hPa)
    • To: Millimeters of mercury (mmHg)

    Find: In millimeters of mercury

  9. Problem 9.
    • Pressure: 36
    • From: Pounds per square inch (psi)
    • To: Inches of mercury (inHg)

    Find: In inches of mercury

  10. Problem 10.
    • Pressure: 45
    • From: Megapascals (MPa)
    • To: Pounds per square inch (psi)

    Find: In pounds per square inch

Answer key: Pressure worksheet

  1. 1. In pascals: 289,579.81 Pa

    1. First change to pascals, the unit every other unit is measured against. 1 psi = 6,894.7572931684 Pa, so multiply

      42 psi×6,894.7572931684=289,579.8063130712 Pa
  2. 2. In millimeters of mercury: 1,758.31 mmHg

    1. First change to pascals, the unit every other unit is measured against. 1 psi = 6,894.7572931684 Pa, so multiply

      34 psi×6,894.7572931684=234,421.7479677243 Pa
    2. Then change pascals to millimeters of mercury. 1 mmHg = 133.322387415 Pa, so divide

      234,421.7479677243 Pa133.322387415=1,758.3074569316 mmHg
  3. 3. In bars: 0.02 bar

    1. First change to pascals, the unit every other unit is measured against. 1 hPa = 100 Pa, so multiply

      24 hPa×100=2,400 Pa
    2. Then change pascals to bars. 1 bar = 100,000 Pa, so divide

      2,400 Pa100,000=0.024 bar
  4. 4. In millimeters of mercury: 150,012.32 mmHg

    1. First change to pascals, the unit every other unit is measured against. 1 MPa = 1,000,000 Pa, so multiply

      20 MPa×1,000,000=20,000,000 Pa
    2. Then change pascals to millimeters of mercury. 1 mmHg = 133.322387415 Pa, so divide

      20,000,000 Pa133.322387415=150,012.3151691313 mmHg
  5. 5. In millimeters of mercury: 19,760 mmHg

    1. First change to pascals, the unit every other unit is measured against. 1 atm = 101,325 Pa, so multiply

      26 atm×101,325=2,634,450 Pa
    2. Then change pascals to millimeters of mercury. 1 mmHg = 133.322387415 Pa, so divide

      2,634,450 Pa133.322387415=19,759.9971848659 mmHg
  6. 6. In hectopascals / millibars: 48 hPa

    1. First change to pascals, the unit every other unit is measured against. 1 mmHg = 133.322387415 Pa, so multiply

      36 mmHg×133.322387415=4,799.60594694 Pa
    2. Then change pascals to hectopascals / millibars. 1 hPa = 100 Pa, so divide

      4,799.60594694 Pa100=47.9960594694 hPa
  7. 7. In millimeters of mercury: 180.01 mmHg

    1. First change to pascals, the unit every other unit is measured against. 1 kPa = 1,000 Pa, so multiply

      24 kPa×1,000=24,000 Pa
    2. Then change pascals to millimeters of mercury. 1 mmHg = 133.322387415 Pa, so divide

      24,000 Pa133.322387415=180.014778203 mmHg
  8. 8. In millimeters of mercury: 18.75 mmHg

    1. First change to pascals, the unit every other unit is measured against. 1 hPa = 100 Pa, so multiply

      25 hPa×100=2,500 Pa
    2. Then change pascals to millimeters of mercury. 1 mmHg = 133.322387415 Pa, so divide

      2,500 Pa133.322387415=18.7515393961 mmHg
  9. 9. In inches of mercury: 73.3 inHg

    1. First change to pascals, the unit every other unit is measured against. 1 psi = 6,894.7572931684 Pa, so multiply

      36 psi×6,894.7572931684=248,211.262554061 Pa
    2. Then change pascals to inches of mercury. 1 inHg = 3,386.388640341 Pa, so divide

      248,211.262554061 Pa3,386.388640341=73.2967443834 inHg
  10. 10. In pounds per square inch: 6,526.7 psi

    1. First change to pascals, the unit every other unit is measured against. 1 MPa = 1,000,000 Pa, so multiply

      45 MPa×1,000,000=45,000,000 Pa
    2. Then change pascals to pounds per square inch. 1 psi = 6,894.7572931684 Pa, so divide

      45,000,000 Pa6,894.7572931684=6,526.6981978594 psi