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Mr. Z’s Volume of a Regular Solid Worksheet                                P1


What is the length of this line: to the nearest mm       ______ to nearest 0.1cm ______
                                 to the nearest whole cm ______

Box 1

        What is the length of the height of the box to the nearest whole cm?

        What is the length of the width of this box to the nearest whole cm?

        What is the depth of this box to the nearest whole cm?

What is the volume of this box?


Box 2

                      What is the length of the height of the box to the nearest whole cm?

                      What is the length of the width of this box to the nearest whole cm?

What is the depth of this box to the nearest whole cm?

What is the volume of this box?


Box 3
           What is the length of the height of the box to the nearest whole cm?

           What is the length of the width of this box to the nearest whole cm?

           What is the depth of this box to the nearest whole cm?

           What is the volume of this box?



Going Further

Convert all of the above measurement to the nearest whole mm. Hint: to calculate
volume, you must do the length, width, and depth conversions first, before you multiply.
Mr. Z’s Volume Worksheet                                                        P2

Calculate the area of the following problems.


   1. A box whose length is 5 cm, whose width is 2 cm and whose depth is 1 cm.


   2. A box whose length is 10 cm, whose width is 6 cm and whose depth is 2 cm.


   3. An box whose length is 10 cm, whose width is 6.5 cm whose depth is 2 cm.


   4. A book whose length is 30 mm, whose width is 20 mm and whose depth is 10
      mm.


   5. A book whose length is 20 cm, whose width is 15 cm and whose depth is 4 cm.


   6. A book whose length is 300 mm, whose width is 15 cm and whose depth is 20 mm.


   7. The volume of a room whose length is 10 m, whose width is 5 m and whose
      height is 3 m.


   8. Which room occupies more volume: the first room is 7 m long by 5 m wide; the
      second room is 8 m long by 4.5 m wide. Both rooms are 3 m in height.

   9. A dumpster is 10 meters in length, 4 meters in width and 2 meters in height.
      What is the volume of the dumpster?


   10. What is larger 10 m3 or 10 yd3. Explain why.
Mr. Z’s Graduated Cylinder Worksheet                                            P3

                                 It is important to remember to read to the
                                 bottom of the curved line or meniscus when
                                 measuring solutions involving water or most
                                 liquids.

                                 The graduated cylinder at the left is divided into
                                 increments of 2 ml, so the volume in it is 12
                                 ml.

                                 The graduated cylinder on the right is divided
                                 into increments of 1 ml, so the volume in it is
                                 16 ml.



                             When measuring liquid volume it is important to read the
                             graduated cylinder correctly. You eye should be level
                             with the top of the liquid and you should read the bottom
                             of the meniscus.




                                 Fill-in the Blanks:

  1. A _______ is used to measure the volume of a liquid.
  2. The standard unit of measure in the metric system for liquids is the ______.
  3. Small s of liquid are measured in theses units: _________
  4. Large amounts of liquid are measured in these units: _________
  5. 1000 ml equals ___ liter.
  6. 1000 ml also equals _______ .
  7. What must be read very carefully when reading the liquid in a graduated cylinder?
  8. What is the FIRST thing you have to determine when using a graduated cylinder?
  9. A graduated cylinder must be read at ___ level.
Examine each picture of a partial graduated cylinder, and determine its volume in ml.


  Mr. Z’s Graduated Cylinder Worksheet                                                  P4

                40                   40                    35                   50
                30


                30                   30                    25                   40
                20




              40                     50                    25                 35



              20                     30                    20                 30




              22                     21                    4                   40



              20                     20                    2                   45




              100                    90                    81                      82



              80                     80                    80                      80
What is the volume of each of the following Graduated Cylinders   P5
Mr. Z’s Water Displacement Method Worksheet                                  P6
Directions: Examine the pairs of graduated cylinders. Calculate the volume of each in
ml; and then determine the volume of the rock in the second graduated cylinder


               30                 40                     35                 40



               20                 30                     25                 35




____________         ____________          ___________           __________




               ___________                         _____________




            40                    60                     25                30



            20                    40                     20                25




____________         ____________          ___________           __________

       ___________                                    _____________
Mr. Z’s Water Displacement Method Worksheet P7



           22                  24                 4           6



           20                  22                 2           4




____________        ____________    ___________        __________




      ___________                            _____________




           80                  10                 81              82



           60                  80                 80              81




____________        ____________    ___________        __________




      ___________                            _____________
Mr. Z's Volume and Measurement Worksheet

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Mr. Z's Volume and Measurement Worksheet

  • 1. Mr. Z’s Volume of a Regular Solid Worksheet P1 What is the length of this line: to the nearest mm ______ to nearest 0.1cm ______ to the nearest whole cm ______ Box 1 What is the length of the height of the box to the nearest whole cm? What is the length of the width of this box to the nearest whole cm? What is the depth of this box to the nearest whole cm? What is the volume of this box? Box 2 What is the length of the height of the box to the nearest whole cm? What is the length of the width of this box to the nearest whole cm? What is the depth of this box to the nearest whole cm? What is the volume of this box? Box 3 What is the length of the height of the box to the nearest whole cm? What is the length of the width of this box to the nearest whole cm? What is the depth of this box to the nearest whole cm? What is the volume of this box? Going Further Convert all of the above measurement to the nearest whole mm. Hint: to calculate volume, you must do the length, width, and depth conversions first, before you multiply.
  • 2. Mr. Z’s Volume Worksheet P2 Calculate the area of the following problems. 1. A box whose length is 5 cm, whose width is 2 cm and whose depth is 1 cm. 2. A box whose length is 10 cm, whose width is 6 cm and whose depth is 2 cm. 3. An box whose length is 10 cm, whose width is 6.5 cm whose depth is 2 cm. 4. A book whose length is 30 mm, whose width is 20 mm and whose depth is 10 mm. 5. A book whose length is 20 cm, whose width is 15 cm and whose depth is 4 cm. 6. A book whose length is 300 mm, whose width is 15 cm and whose depth is 20 mm. 7. The volume of a room whose length is 10 m, whose width is 5 m and whose height is 3 m. 8. Which room occupies more volume: the first room is 7 m long by 5 m wide; the second room is 8 m long by 4.5 m wide. Both rooms are 3 m in height. 9. A dumpster is 10 meters in length, 4 meters in width and 2 meters in height. What is the volume of the dumpster? 10. What is larger 10 m3 or 10 yd3. Explain why.
  • 3. Mr. Z’s Graduated Cylinder Worksheet P3 It is important to remember to read to the bottom of the curved line or meniscus when measuring solutions involving water or most liquids. The graduated cylinder at the left is divided into increments of 2 ml, so the volume in it is 12 ml. The graduated cylinder on the right is divided into increments of 1 ml, so the volume in it is 16 ml. When measuring liquid volume it is important to read the graduated cylinder correctly. You eye should be level with the top of the liquid and you should read the bottom of the meniscus. Fill-in the Blanks: 1. A _______ is used to measure the volume of a liquid. 2. The standard unit of measure in the metric system for liquids is the ______. 3. Small s of liquid are measured in theses units: _________ 4. Large amounts of liquid are measured in these units: _________ 5. 1000 ml equals ___ liter. 6. 1000 ml also equals _______ . 7. What must be read very carefully when reading the liquid in a graduated cylinder? 8. What is the FIRST thing you have to determine when using a graduated cylinder? 9. A graduated cylinder must be read at ___ level.
  • 4. Examine each picture of a partial graduated cylinder, and determine its volume in ml. Mr. Z’s Graduated Cylinder Worksheet P4 40 40 35 50 30 30 30 25 40 20 40 50 25 35 20 30 20 30 22 21 4 40 20 20 2 45 100 90 81 82 80 80 80 80
  • 5. What is the volume of each of the following Graduated Cylinders P5
  • 6. Mr. Z’s Water Displacement Method Worksheet P6 Directions: Examine the pairs of graduated cylinders. Calculate the volume of each in ml; and then determine the volume of the rock in the second graduated cylinder 30 40 35 40 20 30 25 35 ____________ ____________ ___________ __________ ___________ _____________ 40 60 25 30 20 40 20 25 ____________ ____________ ___________ __________ ___________ _____________
  • 7. Mr. Z’s Water Displacement Method Worksheet P7 22 24 4 6 20 22 2 4 ____________ ____________ ___________ __________ ___________ _____________ 80 10 81 82 60 80 80 81 ____________ ____________ ___________ __________ ___________ _____________