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Prisms

The surface area, s, and volume, v, of a right rectangular prism with length l, width, w, and height, h, are
 * __Surface area and volume formulas 7.1__**

S=2lw +2wh+2lh and v=lwh

Surface area ,s, and volume, v, of a cube with side s are

S=6s2 and v=s3

The surface area, s, of a right prism with lateral area L, base area B, perimeter p, and height h is
 * __Surface area of a right prism 7.2__**

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 are B is V=Bh prisms in nature!!
 * __Cavalieri’s principle__**
 * __Volume of a prism__**


 * __VOCABULARY__**

__Surface area__ =the sum of the areas of all faces of a prism. __Volume__=l*w*h inside of a three dimensional figure __Cone__=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. __Sphere__=There set of points in space that are equidistant from a given point known as the center of the sphere __Cylinder__=A solid that consists of a circular region and its translated image in a parallel plane with a lateral surface connecting the circles. __Pyramid__=A polyhedron in which all but one of the polygonal faces intersect at a single point known as vertex of the pyramid.


 * __Surface areas of a regular pyramid 7.3__**

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
 * __Volume of a pyramid 7.3__**

The surface area, S, of a right cylinder with lateral area L, base area B, radius r, and height h is… S= l+2b
 * __Surface area of a right cylinder__**

The volume, V, of a cylinder with radius r, height h, and base area is B is… V=Bh or V = 3.14r2h
 * __Volume of a cylinder__**

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
 * __Surface area of a right triangle 7.5__**

The volume, V, of a cone with radius r, height H, and base area B is.. V=1/3BH or
 * __Volume of a cone 7.5__**

The surface area S, of sphere with radius r is… S=4(3.14)r2
 * __Surface area of a sphere 7.6__**

The volume, V, of a sphere with radius r is… V=4/3(3.14)r2
 * __Volume of a sphere 7.6__**