SurfaceArea/Volume
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| Polyhedron | A three-dimensional figure whose surfaces are polygons.
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| Vertex | A point where three or more edges intersect.
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| Vertex | A point where three or more edges intersect.
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| Net | A two-dimensional pattern that you can fold to form a three-dimensional
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| Cube | A polyhedron with six faces
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| 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.
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| Isometric drawing | Shows three sides of a figure from a corner view.
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| Orthographic drawing | It shows a top view, front view, and right-side view.
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| Foundation drawing | Shows the base as a structure and the height of each part.
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| Cross section | The inersection of a solid and a plane.
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| Literal equation | An equation involving two or more variables.
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| Prism | A polyhedron with exactly two congruent, parallel faces, called BASES. Other faces are LATERAL FACES.
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| Lateral Area | Is the sum of the areas of the lateral faces.
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| Surface Area | Is the sum of the lateral area and the area of the two bases.
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| 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
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| 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
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| 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
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| 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
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| 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.
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| Altitude of a Pyramid (Height) | The perpendicular segement from the vertex to the plane of the base.
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| Slant Height | The length of the altitude of a lateral face of the pyramid.
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| 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
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| 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
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| 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)
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| 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
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| Volume | The space that a figure occupies.
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| 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.
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| 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
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| 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)
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| Composite space figure | A three-dimensional figure that is the combination of two or more simplier figures.
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| 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
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| 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)
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| Sphere | The set of all points in space equidistant from a given point called the center.
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| Radius | A segment that has one endpoint at the center and the other endpoint on the sphere.
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| Diameter | A segment passing through the center with endpoints on the sphere.
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| Great Circle | If the center of the circle is also the center of the sphere, the circle is called the great circle.
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| Hemispheres | A great circle divides a sphere into two hemispheres.
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| 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
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| 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
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| Similar solids | The same shape and all their corresponding dimensions are proportional.
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Created by:
mvbeagle
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