Full to Capacity

2 Volume  Volume of a Solid Object  The amount of space that a solid object occupies  Volume of a Hollow Object  The amount of space enclosed by the outer boundary of a hollow object (Tierney, Singer, Kliman, & Murray, 1998)

3 Standard Units - Volume  Frequently Used Units for Measuring Volume  Customary System  Cubic inch  Cubic foot  Cubic yard  Metric System  Cubic centimeter  Cubic meter

4 Capacity  Refers to the amount of space in a container that could be filled with dry, pourable material or with liquid (Tierney, Singer, Kliman, & Murray, 1998)

5 Standard Units - Capacity  Frequently Used Units for Measuring Capacity  Customary System  Ounces  Pints  Cups  Quarts  Gallons  Metric System  Liters  Milliliters

6 Connections Between Volume and Capacity  Since capacity refers to the amount of space in a container that could be filled with dry, pourable material or with liquid, capacity is the same as the maximum volume of the container.

7 Connections Between Volume and Capacity  Measuring liquid and other dry, pourable materials usually is done by pouring them into a container. (Tierney, Singer, Kliman, & Murray, 1998)

8 Connections Between Volume and Capacity  Measuring the amount of space that the liquid or dry, pourable material takes up (i.e., its volume) is typically done using standard units of capacity. (Tierney, Singer, Kliman, & Murray, 1998)

9 Connections Between Volume and Capacity  Since we are using units of capacity to measure the amount of space that the material takes up (i.e., its volume), the standard units for capacity can be thought of as liquid/pourable measures for volume. (Encyclopedia Brittanica Educational Corporation, 1998)

10 What Attributes Were Measured during the Lesson?  We measured the volume of the cereal box using cubic units.  We measured the volume of the total amount of cereal needed to completely fill the box using capacity units.

11 What Attributes Were Measured during the Lesson?  The cereal box occupies the same amount of space as the cereal it would take to completely fill the box.  So, we have two ways to describe the amount of space that is being occupied:  Cubic units  Capacity Units

12 References  Encyclopedia Brittanica Educational Corporation. (1998). Math in context: Made to measure. Chicago: Author.  Tierney, C., Singer, M., Kliman, M., & Murray, M. (1998). Investigations in number, data and space: 5 th -grade measurement benchmarks: Estimating and measuring. Menlo Park, CA: Dale Seymour Publications.

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