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=This page is going to teach you about how to find the Surface Area and the Volume for solid figures!=

//Awesome// link to finding the [|Surface Area] and the [|Volume]

Surface Area and Volume
Surface Area** is the total area of all the exposed sides of the object.
 * __Objectives__**
 * Understand the ratios of the surface area to volume. Also, how to maximize and minimize the volume and surface area.
 * __Definitions__
 * Volume** is the number of overlapping units of cubes thats going to fill the object.

//Surface Area// = //S Volume =// V //Length =// L //Height =// H //Width =// W
 * __Formulas__**

S = 2lw + 2wh + 2lh V = lwh
 * RECTANGLE**

S = 6s² V = s³
 * CUBE**

[|Surface Area Games]

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__**Objectives**__ Altitude** is a segment that has endpoints in the planes containing the beses and that is perpendicular to both planes.
 * Use the formulas to find the surface area and volume of a right prism
 * Understand Cavelieri's Principle to use the formula for the volume of a right or oblique prism.
 * __Definitions__
 * Height** is the length of an altitude in a prism.

//Base// = B //Perimeter// = P
 * __Formulas__**

S = L + 2B S = hp + 2B
 * SURFACE AREA OF A RIGHT PRISM**

V = Bh
 * VOLUME OF A PRISM**

If two solids have equal heights and the cross sections formed by every plane parallel to the beses of both solids have equal areas, then the two solids have equal volumes.
 * __Cavalieri's Principle__**

Surface Area and Volume of Pyramids


Pyramid** is a polyhedron which consists of a base, that is a polygon, and three or sometimes more lateral faces.
 * __Objectives__**
 * Understand and use formulas to find the volume and surface area of a regular pyramid.
 * __Definitions__
 * Vertex of the Pyramid** is the lateral faces that are trialges that share a single vertex.
 * Base Edge** is when each lateral face has one edge in common.
 * Lateral Edge** is the intersection of two lateral faces.
 * Regular Pyramid** is a pyramid chose base is a regular polygon and whose lateraal faces are congruent isoceles triangles.
 * Slant Height** is the length of an altitude of a lateral face of a regualr pyramid.

__**Formulas**__ //Lateral Area// = L //Slant Height// = l

S = L + B S = 1/2l + B
 * SURFACE AREA OF A REGULAR PYRAMID**

V = 1/3Bh
 * VOLUME OF A PYRAMID**

Surface Area and Volume of Cylinders
__**Objectives**__ Cylinder** is a solid that consists of a circular region and its translated image on a parallel plane, with a lateral surface connecting the circles.
 * Understand and Use formulas to find the Surface Area and Volume of a right cylinder.
 * __Definitions__
 * Axis** of a cylinder is the segment joining the centers of the two bases.
 * Right Cylinder** is when the axis of a cylinder is perpendicular to the bases, if it is not then it is an **oblique cylinder**.

//Radius// = r
 * __Formulas__**

S = L + 2B S = 2πrh + 2πr²
 * SURFACE AREA OF A RIGHT CYLINDER**

V = Bh V = πr²h
 * VOLUME OF A CYLINDER**

Surface Are and Volume of Cones
http://www.flickr.com/photos/thomashawk/101549071/sizes/s/

__**Objectives**__ > **__Definitions__** > **Cone** is a three-dimensional figure that consists of circular base and a curved lateral surface that connects the base called the vertex. > **Right Cone** is when a cone intersects the base of the cone at its center and an **Oblique Cone** is when it does not. > > **__Formulas__** > //Base of Area// = B > > **SURFACE AREA OF A RIGHT CONE** > S = L + B > S = πrl + πr > > **VOLUME OF A CONE** > V = 1/3Bh > V = 1/3πr²h
 * Understand and Use formulas to find the surface area and volume of a cone.

Surface Area and Volume of Spheres
__**Objectives**__ Sphere** is the set of all pints in space that are the same distance, from a given point known as the center of the sphere.
 * Understand and Use formulas to find the surface area and volume of a sphere.
 * __Definitions__
 * Annulus** is the circular region in the sphere.

__**Formulas**__ //Radius// = r

S = 4πr²
 * SURFACE AREA OF A SPHERE**

V = 4/3πr³
 * VOLUME OF A SPHERE**

More hints to finding the [|Volume of a Sphere]