sivrac

7.1** SURFACE AREA and VOLUME FORMULAS
 * sira15 ch 9 Link
 * • l** = length
 * • w** = width
 * •h** = height

Volume = Length X Width X Height Surface Area=2 X Length X Width + 2 X Width X Height + 2 X Length X Width = = Surface Area of a cube- S=6s² and V=s³



7.2 SURFACE AREA and VOLUME OF PRISMS


 * Altitude of a prism: a sement with endpoints inside its planes containing the bases, is perpendicular to both planes.
 * Height of a prism: length of an altitude.

•**B**= base area •**p**= perimeter
 * •L**= lateral area
 * •h**= height

Surface Area of a Right Prism- S= L+ 2B or S= hp + 2B = = If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal.
 * [|CAVALIERI'S PRINCIPLE]-**

•**B**= base area
 * •h**= height

Volume of a Prism- V= Bh
 * 7.3**
 * • Pyramid:** a polyhedron consisting of a **base** whitch is a plygon, and three or more **lateral faces**.
 * • Base:** faces formed by the circular region and its translated image.
 * • Lateral Faces:** the faces of a prism or pyramid that are not bases.
 * • Vertex of the Pyramid:** lateral aces that are triangles and that share a single vertex.
 * • Base Edge: An edge that is part of the base of a pyramid; each lateral face has one edge in common with the base.**
 * • Altitude of a Pyramid:**
 * • Height:**
 * • Regular Pyramid:**
 * • Slant height:**

Surface Area of a Regular Pyramid- S= L+B or S= ½lp+B



Volume of a Pyramid: V=1/3×Bh

7.4 Surface Area and Volume of Cylinders-

Surface Area: S=L + 2B or S= 2(pi)rh + 2(pi)r²

1- Volume of a Triangular Prism- A trianular prism has the height of 5 and the 3 sides of the triangle measure 2, 4, and SQR 20. Find the volume of the prism. V=Bh = (½ bh) h of prism = (½ 2*4) SQR 20 = (½ 8) 4.5 =(4)4.5 =18

2- Surface Area of a Triangular Prism-

3- Volume of a Pyramid- S= L+B or S= ½lp + B The base of a Pyramid is square. Each of its sides are 2. the length of each triangle is ½sl.

4- Surface Area of a Pyramid

5- Volume of a Cylinder

6- Surface Area of a Cylinder

7- Volume of a Cone

8- Surface Area of a Cone

9- Volume of a Sphere

10- Surfae Area of a Sphere