ࡱ> CEB]'` ;lbjbj Hr%Nvvvv    jjj8jT.k#:l6Tm"vmvmm 5777777$hXf[ ~[vvvmmQvvm m55  ml ҄j:a 0:~ [[ :###4W###W* T vvvvvv Section 8.4: Volume and Surface Area Practice HW from Mathematical Excursions Textbook (not to hand in) p. 518 # 1-37 odd In the section, we look at some important surfaces in 3 dimensions. Two important measurements that we will consider are the concepts of volume and surface area. Volume You will specifically look at how to find the volume of various three dimension geometric objects such as rectangular solids and cylinders. The volume of an object is the amount space occupied by the object. On the next page is a list of some of the key formulas used to find volume. We will use these formulas in the following examples. Example 1: Find the volume of rectangular solid that is 3 feet by 2 feet by 4 feet.  Solution: % Geometric Shape Sketch Volume Formula  Rectangular Solid    EMBED Equation.3   Right Circular Cylinder    EMBED Equation.3  Cube    EMBED Equation.3   Regular Square Pyramid  EMBED Equation.3  Sphere  EMBED Equation.3  Right Circular Cone  EMBED Equation.3  Example 2: Find the volume of a cylinder with a radius of 3 in and height of 4 inches. Solution: The problem is modeled by the following diagram:  Substitute the values of the radius  EMBED Equation.3 and the height  EMBED Equation.3  into the volume formula.   Thus, the volume is  EMBED Equation.3 . % Example 3: Suppose you have a cylinder shaped hot water heater that has a height of 5 feet and suppose the diameter of the bottom and top is radius of 2 feet. How much water can the hot water heater hold? Solution: % Example 4: The height of a regular square pyramid is 8 m and the length of a side of the base is 9 m. What is the volume of the pyramid? Solution: % Surface Area Every three dimensional object has both volume and surface area. The volume, as stated earlier, measured the amount of space occupied by a three dimension object. The surface area of a three dimension object measures amount of surface of the object. The surface area of object such as a cube, rectangular solid, pyramid, or cylinder is found by find the area of each face and finding the sum of the face. On the next page is a list of some of the key formulas used to find surface. We will use these formulas in the following examples. Example 5: Find the surface area of a sphere with a diameter of 15 cm. Solution: % Example 6: Find the surface area of a cube whose sides measure 3 in. 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