Dimensions of Three – Mathematica Education

Definition of Building Space

Geometry is a mathematical building that has content or volume. Building space is often also called 3 -dimensional building because it has 3 main components as follows.
Parts of the building:

• Side : Field in building space that limits between building space with the surrounding space
• Ribs : Meeting of two sis in the form of a line segment in building space.
• Vertex : The point of the results of the rib meeting totaling three or more.

Types of Build Space commonly known are:

1. Cube
2. Beam
3. Prism
4. Pyramid
5. Cone
6. Tube
7. Is

Is a building that is limited by the same 6 sides.

Characteristics of a cubeamong others:

Ø Cube is a building with 6 sides of the same large (congruent),

Ø Cube has 6 square -shaped sides,

Ø Cube has the same 12 ribs,

Ø Cube has 8 corner points,

Ø Cube nets in the form of 6 square pieces that are congruent.

Cube surface area formula

L = 6 xr²

L: Surface area

R: Length of ribs

Clinical cube formula

V = R.³

V: Volume

R: Length of ribs

Is a building that is limited by 6 sides with a length and width

Beam featuresamong others:

Ø The beam is a building that is limited to 6 rectangles where 3 rectangles are congruent,

Ø The beam has 6 rectangular sides,

Ø This beam has 3 pairs of sides -kongruen,

Ø The beam has 12 ribs,

Ø 4 ribs that are parallel to the same length,

Ø The beam has 8 corner points,

Ø Beam nets are 6 rectangular pieces.

The formula of the surface area of ​​the beam

L = 2 x [ (p x l) + (p x t) + (l x t) ]

L: Surface area

P: Beam length

L: beam width

Q: Beam height

Beam volume formula

V = PXLXT

V: Beam volume

P: Beam length

L: beam width

Q: Beam height

Is a building that is limited by 6 sides with a length and width

Prismatic featuresamong others:

Ø Prisma is a building that is base and upper congruent and parallel,

Ø The upper and upper prism ribs are the same and in line,

Ø Ribs upright prisms are the same and parallel,

Ø Ribs upright prism perpendicular to the base and top prisms,

Ø Ribs upright prisms are also called prisms,

Ø Prism consists of triangular prisms and prisms.

Ø The triangular prism has the upper plane and field in the form of a triangle congruent.

Ø The triangular prism has 5 sides.

Ø The triangular prism has 9 ribs

Ø The triangular prism has 6 vertices

Ø Triangle prism nets are 2 triangles, and 3 rectangles.

The formula for the surface area of ​​the triangle prism

L = circumference Δ xt x (2 x trim Δ)

L: Surface area

∆: base and top triangle

Q: High prism

Triangular prism volume

V = trim base xt

V: Volume

Trim base: trim Δ = (½ axt)

Q: High prism

Is a building that is limited by a triangular side

Characteristics of Limasamong others:

Ø Limas is an increase in space that has many fields and from the field formed a triangular side that will meet at one point,

Ø The name of the pyramid is determined by the form of the base,

Ø Regular pyramid is a pyramid whose base is in the form of a regular aspect,

Ø Height of the pyramid is a perpendicular line from the pyramid peak to the base of the pyramid,

Ø Various forms of pyramid, including:

1. Triangle pyramid (the base is in the form of a triangle)
2. Five rectangles (the base is rectangular)
3. The pyramid (the base is in the form of a fifth)
4. The pyramidic pyramid (the base is in the formThe formula for the surface area of ​​the pyramidL = base area + extent of the pyramid sheath

   Slip volume formula

   V = 1/3 (TRIM ALAS XT)

   V: Volume of the pyramid

   Q: Limas height

   Is a border that is limited by a circle -shaped base and curved blanket

   Cone characteristicsamong others:

   Ø Cone is a pyramid -shaped space whose base is a circle,

   Ø Cone has 2 sides,

   Ø Cone has no ribs,

   Ø Cone has 1 vertex,

   Ø Cone nets consist of circles and triangles.

   Cone area formula

   L = π r² + π dxt

   L: Surface area

   R: The radius of the base circle

   D: diameter of the base circle

   Q: Cone height

   Cone volume formula

   V = 1/3 (π R² XT)

   V: Volume

   R: The radius of the base circle

   Q: Cone height

   Is a building that is limited by the curved side and a circle

   Tube characteristicsamong others:

   Ø The tube is a building in the form of an upright prism with a base and top plane in the form of a circle,

   Ø The height of the tube is the distance of the center point of the base circle plane with the center point of the upper circle,

   Ø The tube upright plane in the form of a arch called a tube blanket,

   Ø The tube tube nets are 2 circles and 1 rectangle.

   Tube surface area formula

   L = 2 x (π r² ) + π dxt

   L: Surface area

   R: The radius of the base circle

   D: diameter of the base circle

   Q: tube height

   Tube volume formula

   V = 1/3 (TRIM ALAS XT)

   V: Volume

   Base area: π r²

   R: The fingers of the base
   Q: tube height

   Is a building that is limited by the curved side

   Ball characteristicsamong others:

   Ø The ball is a semicircular space shape playing around the center line,

   Ø The ball has 1 side and 1 midpoint,

   Ø The side of the ball is called a ball wall,

   Ø The ball does not have a vertex and ribs,

   Ø The distance of the wall to the center of the ball is called the fingers,

   Ø The distance of the wall to the wall and passes through the center point is called the diameter.

   The formula of the surface area of ​​the ball

   L = 4 pr²

   L: Surface area

   R: Ball fingers

   Clinical ball formula

   V = ⁴/₃ π r³

   V: Volume

   R: Ball fingers