wilrik

wiri323 Chapter 9 link.

7.1 1. Explore ratios of surface area to volume. 2. Develop the concepts of maximizing volume and minimizing surface area.
 * //Objectives://**

The surface area, S, and volume, V, of a right rectangular prism with length, l, width, W, and height, H, are S= 2lW+2WH+2lH and V=lWH
 * __Surface area and volume fomulas.__**

The surface area, S, and volume, V, of a cube with side, S, are S=6S² and V=S³

7.2 1. Define and use a formula for finding the surface area of a right prism. 2. Define and use a formula for finding the volume of a right prism. 3. Use cavalieri's principle to develop a formula for the volume of a right of oblique prism.
 * //Objectives://**

containing the bases and that is perpendicular to both planes. The surface area, S, of a right prism with lateral area, L, base area, B, perimeter, P, and height, H, is S=L+2B or S=HP+2B If two solids have equal heights and the cross sections formed by every plane parallel to the bases of both solids have equal areas, then the two solids have equal volumes. The volume, V, of a prism with height, H, and base area, B, is V= BH
 * Altitude-** an altitude of a prism is a segment that has endpoints in the planes
 * Height-** the height of a prism is the length of an altitude.
 * __Surface area of a right prism.__**
 * __Cavalieri's Principle.__**
 * __Volume of a prism.__**

7.3 1. Define and use a formula for the surface area of a regular pyramid. 2. Define and use a formula for the volume of a pyramid.
 * //Objectives://**

whose lateral faces are congruent isosceles triangles. The surface area, S, of a regular pyramid with lateral area, L, base area, B, perimeter of the base, P, and slant height, L, is S=L+B or S=1/2LP+B The volume, V, of a pyramid with height, H, and base area, B, is V=1/3BH
 * Pyramid-** a pyramid is a polyhedron consisting of a base.
 * Base-** which is a polygon, and three or more lateral faces.
 * Lateral faces-** the lateral faces are triangles that share a single vertex, called the **vertex of the pyramid.**
 * Base edge-** Each lateral face has one edge in common with the base.
 * Lateral edge-** The intersection of two lateral faces.
 * Altitude-** The altitude of a pyramid is the perpendicular segent from the vertex to the plane of the base.
 * Height-** The height of a pyramid is the length of its altitude.
 * Regular pyramid-** A regular pyramid is a pyramid who base is a regular polygon and
 * Slant height-** The length of an altitude of a lateral face of a regular pyramid.
 * __Surface area of a regular pyramid.__**
 * __Volume of a pyramid.__**

7.4 1. Define and use a formula for the surface area of a right cylinder. 2. Define and use a formula for the volume of a cylinder.
 * //Objectives://**

with a **lateral surface** connecting the circles. perpendicular to both planes. its an **obique cylinder. __Surface area of a right cylinder.__** The surface area, S, of a right cylinder with lateral area, L, base area, B, radius, R and height, H, is S=L+2B or S=2±RH+2±R² The volume, V, of a cylinder with radius, R, height, H, and base area, B, is V=BH or V=±R²H
 * Cylinder-** A cylinder is a solid that consists of a circular region and is translated image on a parallel plane,
 * Bases-** The faces formed by the circular region and its translated image are called the bases of the cylinder.
 * Altitude-** An altitude of a cylinder is a segment that has endpoints in the planes containing the bases and is
 * Height-** The heightof a cylinder is the length of an altitude.
 * Axis-** The axis of a cylinder is the segment joining the centers of the two bases
 * Right cylinder-** If the axis of a cylinder is perpendicular to the bases, then the cylinder is a right cylinder, if not,
 * __Volume of a cylinder.__**

7.5 1. Define and use the formula for the surface area of a cone. 2. Define and use the formula for the volume of a cone.
 * //Objectives://**

base to a single point not in the plane of the base, called the **vertex. Altitude-** The altitude of a cone is the perpendicular segment from the vertex to the plane of the base. if not, it is an **oblique cone.** The surface area, S, of a right cone with lateral area, L, base of area, B, radius, R, and slant height, L, is S=L+B or S=±RL+±R² The volume, V, of a cone with radius, R, height, H, and base area, B, is V=1/3BH or V=1/3±R²H
 * Cone-** A cone is a 3-dimensional figure that consists of a circular **base** and a curved **lateral surface** that connects the
 * Height-** The height of the cone is the length of the altitude.
 * Right cone-** If the altitude of a cone intersects the base of the cone at its center, the cone is a right cone,
 * __Surface area of a right cone.__**
 * __Volume of a cone.__**

7.6 1. Define and use the formula for the surface area of a sphere. 2. Define and use the formula for the volume of a sphere.
 * //Objectives://**

as the center of the sphere. in the cylinder are both equal to 525(3.14) square units. The volume, V, of a sphere with radius, R, is V=4/3±R³ The surface area, S, of a sphere with the radius, r, is S= 4±r²
 * Sphere-** A sphere is the set of all points in space that are the same distance, R, from a given point known
 * Annulus-** You can prove that the two red cross sections, the circular region in the sphere and the annulus
 * __Volume of a sphere.__**
 * __Surface Area of a Sphere.__**

__1. Volume of triangular prism-

2. Surface area of triangular prism-

3. Volume of pyramid-

4. Surface area of pyramid-

5. Volume of cylinder-

6. Surface area of cylinder-

7. Volume of cone-

8. Surface area of cone-

9. Volume of a sphere-

10. Surface area of a sphere-__