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30 Cards in this Set
- Front
- Back
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prism
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formed by two parallel congruent polygonal faces called bases connected by faces that are parallelograms
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cylinder
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two parallel congruent circular bases and a curved surface that connects the bases
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pyramid
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polygonal base and triangular faces that meet at a common vertex
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cone
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circular base and a curved surface that connects the base to a vertex
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euler's formula
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for any polyhedron with V vertices, E edges, and F faces, V-E+F=2
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lateral area of a right prism
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base perimeter P and height h is L=Ph
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surface area of a right prism
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lateral area L and base area B is S=L+2B, or S=Ph=2B
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surface area of a cube
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edge length s is S=6s^2
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lateral area of right cylinder
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radius r and height h is
L=2(pi)rh |
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surface area of right cylinder
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lateral area L and base area B is S=L+2B, or
S=2(pi)rh+2(pi)rh^2 |
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lateral area of regular pyramids
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perimeter P and slant height l is L=(1/2)Pl
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surface area of regular pyramids
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lateral area L and base area B is S=L+B, or S=(1/2)Pl+B
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lateral area of a right cone
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radius r and slant height l is L=(pi)rl
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surface area of a right cone
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lateral area L and base area B is S=L+B, or
S=(pi)rl+(pi)r^2 |
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volume of a prism
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base area B and height h is V=Bh
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volume of a right rectangular prism
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lenght l, width w, and height h is V=lwh
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volume of a cube
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edge length s is V=s^3
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volume of a cylinder
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base area B, radius r, and height h is V=Bh, or
V=(pi)(r^2)h |
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volume of a pyramid
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base area B and height h is
V=(1/3)Bh |
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volume of cone
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base area B, radius r, and height h is V=(1/3)Bh or
V=(1/3)(pi)r^2(h) |
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volume of a sphere
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radius r is V=(4/3)(pi)r^3
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surface area of a sphere
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radius r is S=4(pi)r^3
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slant height
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distance from the vertex to the midpoint of an edge of the base
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lateral area
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sum of the areas of the lateral faces of a prism or pyramid, or the area of the lateral surface of a cylinder or cone
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lateral edge
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an edge of a prism or pyramid that is not an edge of a base
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lateral face
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a face of a prism or pyramid that is not a base
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lateral surface
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the curved surface of a cylinder or cone
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surface area
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the total area of all faces and curved surfaces of a three-dimensional figure
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volume
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the number of nonoverlapping unit cubes of a given size that will exactly fill the interior
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great circle
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divides a sphere into two hemispheres
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