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 * __Learning about Surface Area and Volume__**

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Sweet link for volume of [|Spheres] The surace area of a object is the total area of all the exposed surfaces of the object. The volume of a solid object is the number of nonoverlapping unit cubes that will exactly fill the interior of the figure. Here is how to calculate surface area and volume S=surface area V=volume Rectanglar Prism with length l, width w, and height h S=2lw+2wh+2l and V=lwh For a cube s=6s² and v=s⁴ A cube or a sphere will have smaller surface-area-to-volume ratio then a longer thiner rectangel or another object.
 * __Finding Surface Area and Volume__**


 * __Surface Area and Volume of some prisms__**



Defenitions to know Altitude- is a segment that has endpoints in the planes containing the bases and that is perpendicular to both planes. The height of a prism is the length of an altitude. The surface area of a prism may be broken down into two parts- the area of the bases or base area and the area of the lateral faces or lateral area. Surface Area of a right prism S=surface area, L=lateral area, B=base area, P=perimeter, H= hieght. S=L+2B or S=HP+2B Cavalieri's Principle 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 areaB is V=BH.


 * __Surface Area and Volume of Pyramids__**



A pyramid is a polyhedron consisting of a base, which is a polygon, and three or more lateral faces. The lateral faces are triangles that share a single vertex, called the vertex of the pyramide. Each of the lateral faces has one edge in common with the base, called a base edge. The intersection of two lateral faces is a lateral edge. A regular pyramid is a pyramid whose base is a regular polygon and whose lateral faces are congruent polygonisosceles triangles. Slant height is the length of an altitude of a lateral face of a regular pyramid. Surface area formula for regular pyramid- S=surface area, L=lateral area of regular pyramid, B=base area, P=perimeter of the base, L=slant height. S=L+B or S=1/2LP+B Volume of pyramid- V=volume, H= height for a pyamid with height, B=base area V=1/


 * __Suface Area and Volume of Cylinder__**

Find a volume of a [|cylinder]



A cylinder is a soid that consists of a circular region and its translated image on a parallel plane, with a lateral surface connecting the circles. The faces formed by the circular region andits translated image are called the bases of the cylinder. An alitude of a cylinder is a segment that has endpoints in the planes containing the bases and is perpendicular to both planes. The height of a cylinder is the lenght of an altitude. The axis of a cylinder is the segment joining the centers of the two bases. If the axis of a cylinder is perpendicular to the bases, then the cylinder is a right cylinder. If not, it is an oblique cylinder.

Surface area of a right cylinder S=surface area, L=right cylinder with lateral area, B=base area, R=radius, and H=height S=L+2B or S=2×3.14RH+2×3.14R²

Volume of a Cylinder V=volume, R= cylinder with radius, H=height, B=base area V=Bh or V=3.14R²H

Awesome link for [|Cones]
 * __Surface Area and Volume of Cones__**



A cone is a three-dimensional figure that consists of a circular base and a curved lateral surface that connects the base to a single point not in the plane of the base, called the vertex. THe altitude of a cone is the perpendicular segment from the vertex to the plane of the base. The height of the cone is the length of the altitude. If the altitude of a cone intersects the base of the cone at is center, the cone is a right cone. If not, it is an obligue cone.

Surface Area of a Right Cone S=surface area, L=right cone with lateral area, B=base of area, R=radius, l=slant height S=L+B or S=3.14Rl+3.14R²

Volume of a Cone V=volume, R= radius, H=height and B=base area V=1/3BH or V=1/3×3.14R²H


 * __Surface Area and Volume of Spheres__**



A sphere is the set of all points in space that are the same distance, r, from a given point known as the center of the sphere.

Volume of a Sphere V=volume, R=radius V=4/3×3.14R³ Surface area of a sphere S=surface area, R=radius S=4×3.14R²
 * __3D symmetry__**



Reflections A three-dimensional figure may be reflected across a plane, jus as a two-dimensional figure can be reflected across a line.