Geometry of 3D Shapes
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| cone | edges = 0
faces = 1
vertices = 1
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| pyramid | edges = 6
faces = 4
vertices = 4
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| cylinder | edges = 0
faces = 2
vertices = 0
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| sphere | edges = 0
faces = 0
vertices = 0
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| rectangular prism | edges = 8
faces = 5
vertices = 5
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| cube | edges = 12
faces = 6
vertices = 8
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| polyhedron | a solid bounded by polygons that enclose a single region of space
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| faces | polygons that make the sides of a polyhedron
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| edge | a line segment formed by the intersection of two faces
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| vertext | a point where three or more edges meet
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| regular polyhedron | all faces are congruent regular polygons
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| convex | any two points can be connected by a segment that lies entirely inside or on the polyhedron
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| platonic solids | the five regular polyhedrons: tetrahedron, cube, octahedron, dodecahedron, icosahedron
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| prism | a polyhedron with two congruent and parallel bases
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| lateral faces | the faces on a prism that aren't bases
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| lateral edges | the segments connecting the vertices of the base (perimeter of the base)
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| surface area (of a polyhedron) | the sum of all the areas of its faces
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| lateral area (of a polyhedron) | sum of all the areas of its lateral faces
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| net | two dimensional representation of a polyhedron
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| right prism | each lateral edge is perpendicular to both bases
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| oblique prism | lateral edges are not perpendicular to the bases
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| formula: surface area of a pyramid | B + 1/2(Ph)
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| formula: surface area of a prism | 2B + Ph
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| formula: surface area of a cone | πr² + πrL
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| formula: surface area of a cylinder | 2πr² + 2πrh
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| cone | a solid figure that has a circular base and one vertex
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| cylinder | A solid figure with two congruent and parallel circular bases
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| sphere | an object with all points on its surface equally distant from its center; a ball or globe
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| faces | the flat surfaces of a 3-D figure
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| edges | the intersection of faces of a 3-D figure
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| vertices | a corner of a polygon
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Created by:
garfieldwhitebooi
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