Section 9.3: Surface Area, Volume, and Capacity

9.3 Outline

A.  Dimensions
      1.  one-dimensional measurement (length)
      2.  two-dimensional measurement (area)
      3.  three-dimensional measurement (volume)
B. Surface area
C. Volume
      1.  formula for a cube
      2.  rectangular parallelepiped
D.  Capacity
      1.  standard units of capacity
      2.  relationship between volume and capacity
           a. U.S.
           b  metric  

9.3 Essential Ideas

The surface area of a three-dimensional object is the sum of the areas of the faces.
The volume of a three-dimensional object is the number of cubes that can be placed in its interior.

Some common area formula for area are:
cube; V = s³
parallelepiped; V = lwh

To measure capacity, the amount of liquid held in a container, use the following units of measurement:
                     U.S. System                  Metric System
                     gallon (gal.)                  liter (L)
                     quart (qt; 1/4 gal)          kiloliter (kl; 1,000 L)
                     ounce (oz; 1/128 gal)    milliliter (ml; 1/1,000 L)
                     cup (c; 8 oz)