Build Space – Definition, Formulas, and Various Types
Build Space – Definition, Formulas, and Various Types – On this occasion, we want to review mathematical material about geometric shapes, both from the meaning and others. Immediately, let's discuss further below.
Build Space – Definition, Formulas, and Various Types
A spatial shape is a naming or a term for some shapes that are 3 sizes or shapes that have space bounded by their sides.
There are 7 types of geometric shapes, namely: cubes, blocks, prisms, tubes, cones, pyramids and balls.
Types of Build Space Types
The following are various types of geometric shapes and their properties and formulas, let's discuss them one by one:
Cube
A cube is a geometric shape that has the same side length and is a shape that is bounded by 6 equal and congruent sides, and is a 3-dimensional geometric shape. This cube has 6 sides, 12 edges and 8 vertices.
Cube properties
The cube has the following properties:
- It has 6 sides in the form of a square that are the same size
- Has 12 ribs that are the same length
- Has 8 corner points
- It has 4 space diagonals
- It has 12 diagonals
Cube Formula
- The area of one side of the cube, the formula: s2
- The surface area of a cube, the formula: 6xs2
- The volume formula, the formula: S3
- Circumference formula, the formula: 12xs
Description:
L = surface area of the cube (cm2)
V= Volume of cube(cm3)
S = length of the edge of the cube (centimeter)
Beam
A beam is a 3-dimensional geometric shape made up of 3 pairs of squares or rectangles, with at least one pair having different dimensions.
Properties of Beams
The beam space structure has several properties, including:
- Has 4 sides
- a rectangle (2 pairs of rectangles that are the same size)
- Has 2 sides that are the same shape (1 pair of rectangles with the same size but different dimensions with 2 pairs of other rectangles)
- Has 12 ribs that are the same length
- Has 8 corner points
Beam Formula
- The formula for the surface of the beam = 2x( pxl)+( pxt)+( lxt)
- Formula for space diagonal= Base of (p squared+l squared+t squared)
- The formula for the perimeter of the beam = 4x(p+l+t)
- The formula for the volume of a block = pxlxt
Description:
P is the length (centimeter)
L is the width (centimeter)
T is Big (centimeter)
Pyramid
A pyramid is a 3-dimensional geometric shape that has a polygonal base and a triangular vertical plane and one of the corners meets at one point. Friends, you can read it more fully in our other post, namely the Limas Formula.
Properties of Lime
This pyramidal shape has several characters, including:
- It has 5 sides, namely: 1 side is a quadrilateral which is the base and the other 4 sides are all triangles and are upright sides.
- Has 8
- ribs
- It has 5 corner points, namely: 4 corners located at the base and 1 corner located at the top which is the apex.
Limas Formula
- To find Volume, the formula is:
The formula for finding volume = 1/ 3 x area of base x size of side
- To find the area, the formula is:
The formula for finding the area = area of the base + sum of the areas of the perpendiculars
Ball
A ball is a curved side shape bounded by a curved plane.
Ball Properties
- Has a base in the form of a hexagon
- Has 6 sides
- Has 10 ribs
- Has 6 corner points
Ball Formula
- The formula for finding the volume of a ball is: 4/ 3 xπ x r3
- The formula for finding the area of a ball is: 4 xπ x r2
Explanation:
V: Volume of the ball( cm3)
L: Surface area of the ball(cm2)
R: The radius of the ball (centimeter)
π: 22/ 7 or 3.14
Cone
A cone is a geometric shape that has a base in the form of a roundabout with a blanket that has slices of a roundabout.
Cone Properties
There are several characters in a cone shape, including:
- Has 2 sides (1 side is the base in the form of a circle and 1 side is in the form of a curved side or conical blanket)
- Has 1 rib
- Has 1 vertex
Cone Formula
- The formula for finding volume= 1/ 3 xπ x r x r x t
- The formula for finding the area = area of the base + area of the blanket
Explanation:
r = radius (centimeter)
T = large (centimeters)
π= 22/ 7 or 3.14
Tube
A cylindrical shape is a 3-dimensional geometric shape that has a lid and a base in the form of a circle with the same dimensions as the rectangle covered with it.
Tube properties
- Has 3 sides (2 sides in the form of roundabouts and 1 side in the form of a tube blanket)
- Has 2 ribs
Tube Formula
- The formula for area of base = area of circle = π x r2
- The formula for volume in a cylinder = π x r2 x t
- The formula for the circumference of the base on the tube = 2 xπ x r
- The formula for the area of a cylinder cover = 2 xπ x r x t
- The formula for the surface area of the cylinder = 2 x the area of the base + the area of the cylinder cover
- The formula for cone+ cylinder :volume=(π. r2. t)+( 1/ 3.π. r2. t) area=(π. r2)+( 2.π. r. t)+(π. r. s)
- Cylinder + 1/ 2 ball formula: Volume=π. r2. t+2/ 3.π. r3 Area=(π. r2)+( 2.π. r. t)+(½. 4. n. r2)=( 3.π. r2)+( 2.π. r. t)
- Cylinder+sphere formula: Volume=(π. r2. t)+( 4/ 3.π. r3) Area=( 2.π. r2)+( 4.π. r2)=π. r2
Description:
V = Volume of the cylinder (cm3)
π= 22/ 7 or 3.14
r = radius/half the diameter (centimeter)
t= Large(centimeter)
Prism
A prism can be defined as the result of a combination of two sizes, either from a rectangle or a triangle.
Prism properties
- It has a base plane and a top plane in the shape of a congruent triangle (the 2 bases are also sides of a triangular prism)
- Has 5 sides (2 sides are in the form of the top and bottom base, the other 3 sides are upright sides which are all triangular)
- Has 9 ribs
- Has 6 corner points
Prism Formula
- To find the area: Area=( 2 x base area)+( area of all vertical planes)
- To find the perimeter: K= 3s( s+ s+ s)
- To find the Volume: Area of triangle x height or = 1/ 2 x a. s x t. s x t
Thus the review from About the knowledge.co.id about Geometry as well as various types. Hope it is useful.
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