Planning of geometric solids


You Geometric solids they are figures that have three dimensions: height, width and length. Examples of geometric solids are: o cone, O paving stone, O cylinder it's the prism.

Although geometric solids are figures that cannot be defined in a single plane, they can be flattened. THE planning it is a way of representing these figures in just two dimensions.

A cardboard box, for example, is an object with three dimensions. But if we dismantle the box, we get its planning:

Cardboard box, planning example
Planning example: cardboard box.

The planning of a geometric solid can have several uses, the main one is the calculation of the areafrom the surface of the solid. Let's see the flatness of some geometric solids.

Cone planning

cone is a spatial geometric figure formed by straight line segments that start from a circle to a common point.

The flattening of a cone results in two flat geometric figures, one circle and a circular sector.

Cone
Cone planning

Planning the cobblestone

O paving stone is a particular case of a prism whose bases and faces are square, rectangular or diamond-shaped.

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With the parallelepiped planning, we obtain six parallelograms, each one of them being one of its faces.

Paving stone
Planning the cobblestone

Cylinder Planning

cylinder it is a solid with a round and elongated body. It is formed by two circles, an upper and a lower, which are parallel, of the same size, and on different planes.

The figures resulting from the flattening of the cylinder are two circles and a parallelogram, which can be a rectangle, for example.

cylinder
Cylinder Planning

prism planning

prism is a spatial figure formed by two bases, which are congruent polygons and are located in distinct parallel planes. These bases can be triangles, squares, pentagons, hexagons, etc. The other faces of a prism are quadrilateral and are called side faces.

Next, we have the planning of a prism with triangular bases. In this planning, the plane figures obtained are two. triangles and three parallelograms.

prism planning

You may also be interested:

  • Area and perimeter
  • Arithmetic average

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