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SurfaceArea/Volume

QuestionAnswer
Polyhedron A three-dimensional figure whose surfaces are polygons.
Vertex A point where three or more edges intersect.
Vertex A point where three or more edges intersect.
Net A two-dimensional pattern that you can fold to form a three-dimensional
Cube A polyhedron with six faces
Euler's Formula The numbers of faces(F), vertuces (V), and edges (E) of a polyhedron are related by the formula F+V=E+2.
Isometric drawing Shows three sides of a figure from a corner view.
Orthographic drawing It shows a top view, front view, and right-side view.
Foundation drawing Shows the base as a structure and the height of each part.
Cross section The inersection of a solid and a plane.
Literal equation An equation involving two or more variables.
Prism A polyhedron with exactly two congruent, parallel faces, called BASES. Other faces are LATERAL FACES.
Lateral Area Is the sum of the areas of the lateral faces.
Surface Area Is the sum of the lateral area and the area of the two bases.
Lateral Area of a Prism The lateral area of a right prism is the product of the perimeter of the base and the height. L.A.=ph
Surface Areas of a Prism The surface area of a right prismis the sum of the lateral area and the areas of the two bases. S.A.=L.A. + 2B
Lateral Area of a Cylnder The lateral area of area of a right prism is the product of the perimeter of the base and the height. L.A.=ph
Surface Area of a Cylinder The surface area of a right cylinder is the sum of the lateral area and the areas of the two bases. S.A.=L.A.+ 2B or S.A.= 2pirh =2pir^2
Pyramid A polygon which one face (the base) can be any polygon and the other faces (the lateral faces) are triangles that meet at a common vertex.
Altitude of a Pyramid (Height) The perpendicular segement from the vertex to the plane of the base.
Slant Height The length of the altitude of a lateral face of the pyramid.
Lateral Area of a Regular Pyramid The lateral area of a regular pyramid is half the product of the perimeter of the base and the slant height. L.A. = 1/2 pl
Surface Area of a Regular Pyramid The surface area of a regular pyramid is the sum of the lateral area and the area of the base. S.A.= L.A. + B
Lateral of a Cone The lateral area of a right cone is half the product of the circumference of teh base and the slant height. L.A. = 1/2 2 pi l or L.A.= pi(r)(l)
Surface Area of a Cone The surface area of a right cone is the sum of the lateral area and the area of the base. S.A.= L.A. + B
Volume The space that a figure occupies.
Cavalieri's Principle If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume.
Volume of a Prism The volume of a prism is the product of the area of a base and the height of the prism. V=Bh
Volume of a Cylinder The volume of a cylinder is the product of the area of the base adn height of the cylinder. V-Bh or V=pi(r^2)(h)
Composite space figure A three-dimensional figure that is the combination of two or more simplier figures.
Volume of Pyramids The volume of a pyramid is one third the product of the area of the base and the height of the pyramid. V=(1/3)Bh
Volume of a Cone The volume of a cone is one third the product of the area of the base and the height of the cone. V=(1/3)Bh or V=(1/3)pi(r^2)(h)
Sphere The set of all points in space equidistant from a given point called the center.
Radius A segment that has one endpoint at the center and the other endpoint on the sphere.
Diameter A segment passing through the center with endpoints on the sphere.
Great Circle If the center of the circle is also the center of the sphere, the circle is called the great circle.
Hemispheres A great circle divides a sphere into two hemispheres.
Surface Area of a Sphere The surface area of a sphere is four times the product of pi and the square of the radius of the sphere. S.A.= 4 pi r^2
Volume of a Sphere The volume of a sphere is four thirds the product of pi and the cube of the radius of the sphere. V= (4/3) pi r^3
Similar solids The same shape and all their corresponding dimensions are proportional.
Created by: mvbeagle