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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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Parallel lines are important in mathematics because they are at the base of several conjectures involving angles in geometry. Drawing a line, called a transversal, through a pair of parallel lines forms three different types of angles that have known mathematical properties.

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Common formulas in the study of geometry include calculating the perimeter and area of shapes. For example, the perimeter or outside of a rectangle is the length plus the width of the rectangle times two.

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Hyperbolic geometry and spherical, or elliptical, geometry are two types of non-Euclidean geometry. Spherical geometry is somewhat similar to Euclidean, or plane, geometry except that it is used to determine distances and areas on the surface of a sphere instead of the flat surfaces of Euclidean geometry. Hyperbolic geometry differs from spherical geometry by its application to surfaces with a constant negative curvature, such as the curved space first introduced in Einstein's 1915 general theory of relativity.