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# What is the flat surface of a solid figure?

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In geometry, the flat surface of a solid figure is referred to as a "face." A solid figure is a three-dimensional geometric shape that contains "faces," "vertices" and "edges."

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Three-dimensional objects can either have flat faces or curved surfaces. A "prism" is a solid plane figure with four lateral faces on the sides and two parallel faces called "bases" at the top and bottom. A "cube" contains six identical square faces, while a "dodecahedron" has 12 pentagonal faces that are all equal in size and shape. An "octahedron" has eight triangular faces, while an "icosahedron" contains 20 triangular faces. A "cylinder," meanwhile, has two circular faces.

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## Related Questions

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Tessellations occur when a shape is repeated in an interlocking pattern that fully covers a flat surface, or plane, like the pieces of a puzzle. Some shapes cannot tessellate because they are not regular polygons or do not contain vertices (corner points). They therefore cannot be arranged on a plane without overlapping or leaving some space uncovered. Due to its rounded edges and lack of vertices, the circle is normally not tessellated.

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The area of any simple shape, such as a circle, triangle or rectangle, can be found by taking a series of measurements from the shape and plugging them into a formula. The necessary formula varies according to the shape but works for all shapes of that type.

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Honors geometry involves a more comprehensive study of regular geometry as it is more detailed and thorough. In contrast to the regular study of geometry, honors geometry is generally more rigorous and requires students to complete more work.