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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

• A:

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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A median is a line segment that joins any vertex of a triangle to the midpoint of the opposite side of the triangle. A triangle has three sides and three vertices. Hence, it has three medians. A median divides a triangle into two equal halves of equal area.

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In geometry, dilation is the resizing of an object. With dilation, the angles remain the same, but the distance between points increases or decreases by a common scale factor.