Cattaraugus Allegany BOCES Math Science Technology DeptCattaraugus Allegany BOCESOlean, New York, US,

July 23, 2008

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This document includes the Teacher's Guide for Learning Experience 4: Measuring the Volume of Solids and Liquids.

This wiki version can be edited or built up with other materials on the same topic by members of the Curriki community. The entire Density collection is also available as downloadable PDFs.

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This resource received a 3* rating because it is part of Density Science Kit, which received a rating of 3-Exemplary in the Curriki Review System and which you can see here: http://www.curriki.org/xwiki/bin/view/Coll_cabocesmst/DensityScienceKit

**Materials:**

*For each group of
three students:*

3 Student Activity Sheets for Learning Experience 4 (Please see PDF)

Plastic jar of gram centimeter cubes

Medicine cup

Plastic spoon

Super ball

Black rubber ball

Glass ball

Water

Metric rulers

Paper towels

*For the class:*

Steel ball

Wood ball

**Preparation:**

**Session 1**

Read background information. Demonstrate the characteristic of the gram centimeter cube’s volume. The formula for volume of a cube is to multiply its length times width times height. A single cube has the volume of 1 cm x 1 cm x 1 cm = 1 cm³ equals 1 cc where cc is the abbreviation for cubic centimeter, cm is the abbreviation for centimeter. 1 ml of water would fit in 1 cubic cm. Students may add the number of cubes to obtain the total volume contained in the total number of cubes.

**Session 2**

Teacher should demonstrate accurately filling the medicine cup with 20 cc of water. Teacher should demonstrate the process of placing gram centimeter cubes in the water and recording the new volume. This volume change is called displacement. You find the displacement by subtracting the original volume, 20 cc from the final volume.

**Basic Skills
Development:**

Measuring

Collecting Data

Interpreting Data

Discussing

**Evaluation Strategy:**

Student groups will find the volume of each ball and assemble gram centimeter cubes of volume equal to the volumes that they have identified for the black rubber ball, the super ball, and the glass ball. Students will compare the volume of the cube for each ball to the number of grams found for each ball in Learning Experience 2 and explain the differences.

**Vocabulary:**

volume

cubic centimeters

displacement

**Objective:**
Students will measure the volume of solids and liquids.

*Can we determine the
volume of solids and liquids?*

**Session 1**

Students should examine the gram centimeter cubes with a metric ruler. Direct students to stack eight cubes together to form a larger cube. Guide the students in calculating the total volume of the larger cube and have them record their results on the activity sheet for Learning Experience 4 in the Density Student Activity Book. (Please see PDF) Direct the students to rearrange the cubes in different shapes. Guide the students in calculating the volume of each new shape.

**Session 2**

Provide the student groups with a medicine cup and direct them to fill the medicine cup to the 20 cc mark. Emphasize that the water must be filled accurately to the line when the medicine cup is held at eye level. Place gram centimeter cubes, five at a time, in the medicine cup filled with 20 cc of water. Place two sets of five gram centimeter cubes in the medicine cup. Note the new volume as you add each set of cubes. This volume change is called displacement. You find the displacement by subtracting the original volume, 20 cc, from the final volume.

The answer you get is the volume of the cubes. Have students record their answers on the activity sheet for Learning Experience 4 in the Density Student Activity Book. (Please see PDF)

Demonstrate the process of placing the steel ball in the water, determining the new volume of the water and then subtracting the initial 20 cc. Record the volume of the steel ball with the mass you determined earlier. Demonstrate the process of determining the volume of the wooden ball through the same process. However, a plastic spoon is needed to hold the wooden ball underwater so it is completely submerged to get the total volume of the wooden ball.

**Discussion Questions:**

What characteristic did you observe about the gram centimeter cubes when you placed them in the water in the medicine cup? (They sank and took up space. They displaced water.)

What happened to the water in the cup? (The water in the cup rose equally to the number of cm cubes.)

What does this tell us? (1 cm cube has a volume of 1 cc. 10 cm cubes have a volume equal to 10 cc.)

Direct students to remove the cubes from the medicine cup and to, again, fill the medicine cup to the 20 cc mark. Emphasize that the water must be filled accurately to the line when the medicine cup is held at eye level. Place the glass ball in the water and record the change in volume on the activity sheet in the Density Student Activity Book. (Please see PDF)

Remove the glass ball and check the volume in the medicine cup. It should read 20 cc. Add additional water if some has been lost. Place the black rubber ball in the water in the medicine cup. Record the change in volume on the activity sheet for Learning Experience 4 in the Density Student Activity Book. (Please see PDF)

Remove the black rubber ball and check the volume in the medicine cup. It should read 20 cc. Add additional water if some has been lost. Place the super ball in the water in the medicine cup. You will need to use the plastic spoon to push the super ball just under the water level to obtain the total volume of the super ball. Record the change in volume on the activity sheet for Learning Experience 4 in the Density Student Activity Book. (Please see PDF)

**Discussion Questions:**

Did your measurements of the volume of each ball agree with other groups? (They may or may not agree with other groups. There may be slight differences in the sizes of the balls or errors in measuring might have been made.)

If there were differences, what reasons might help explain the differences? What do you now think about the density of each ball? (The density of the superball, rubberball and glassball are different from one another. The differences can be explained by the differences in mass and volume.)

**For the accompanying Density Science Student
Activity Book, please refer to the PDF found here. (Please see PDF)**

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