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Formulas in Math About Quick Tricks Comparisons

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Math Formulas | Cylinder

Smart Math Formula, A cylinder is a solid bounded by a cylindrical surface and two parallel planes. 

Volume of Cylinder = πr²h
Curved Surface Area of Cylinder = 2πrh
Total Surface Area of Cylinder = 2πr [ h + r ]

Note :
        r = radius, h = height


Example

Question : Find the volume, curved surface and total surface area of a cylinder with the given radius 3 and height 4.

 Answer : Find the volume.
            Volume = πr²h = 3.14 . 3² . 4 = 3.14 . 9 . 4 = 113.04 .
 

Answer : Find the curved surface area.
             = 2πrh = 2 x 3.14 x 3 x 4 = 75.36.
 

Answer : Find the total surface area.
             = 2πr [h + r] = 2 . 3.14 . 3[4 + 3] = 6.28 x 3[7] = 6.28 x 21 = 131.88.

That is example will clearly illustrates how to calculate the Volume, Curved Surface and Total Surface Area of a Cylinder manually, this Smart Math Formula Cylinder.



Math Formulas | Rectangular box (Beams)

Smart Formula Math  Rectangular box (Beams) is Cube and the beam is not really much different. If the cube all the sides the same length of the beam are not all the same length. 

Volume = l x w x h [in fact equal to the cube, it's just that the cube has all the ribs of the same length].
Beam Surface Area = 2 . {[l . w]+[l . h]+[w . h)]
Roving Beams = 4 . [l + w + h]
The roots of the diagonal spaces = [ l squared + w squared + h squared ]



Note :
length = l , width = w , height = h

Example

Question :
Find the Volume and  Surface Area beam below if length =4,width =3, high= 5

Answer :
Volume Of beams = l x w x h = 4 x 3 x 5 = 60

Beam Surface Area = 2 x {(l x w) + (l x h) + (w x h)}
2 x {(4 x 3) + (4 x 5) + (3 x 5)} = 2 x ( 12 + 20 + 15 ) = 94

That is example find the volume and area of beams which was submitted by the smart math basic formula.



Geometry Formulas

Geometry Formulas | Example 1

Geometry Formulas | Example 2


Geometry Formulas Perimeter

Perimeter of a square: [ s + s + s + s ]
s : length of one side
Perimeter of a rec tangle: [ l + w + l + w ]
l : length
w : width
Perimeter of a triangle: [ a + b + c ]
a, b, and c: lengths of the 3 sides

 Area of a square : [ s . s ]
s : length of one side

Area of a rectangle : [ l . w ]
l : length
w : width

Area of a triangle : 1/2 . [ b . h ]
b  : length of base
h: length of height

Area of a trapezoid: 1/2 . [ b1 + b2 ] . h
b1 and b2 : parallel sides or the bases
h : length of height

Geometry Formulas volume
Volume of a cube: [ s . s . s ]
s : length of one side
Volume of a box:  [ l . w . h ]
l : length
w : width
h : height
Volume of a sphere: (4/3) × pi × r³
r : radius of sphere

Volume of a triangular prism: area of triangle . Height = (1/2 base × height) .Height
Base :  length of the base of the triangle
Height : height of the triangle
Height : height of the triangular prism

Volume of a cylinder: pi . r² . Height
pi : 3.14
r : radius of the circle of the base
Height : height of the cylinder

Math Formulas Basic | Kite

Smart Math Formula KiteSmart Math Formula, A kite is a quadrilateral with two pairs of adjacent sides that are congruent. The diagonals of a kite are perpendicular.
 


Smart Diagonal Method : Area of Kite = ½ . d1 . d2
Smart Trigonometry Method : Area of Kite = a . b . Sin C
Perimeter of Kite = 2[a + b]
 

Note :
a = length, b = breadth, d1, d2 are diagonals

                                              

Example

Question : Find the area of a kite with the given diagonals 2, 4 using Smart Diagonal Method.
Answer : Find the area.
Area = ½ . d1 . d2 = 0.5 . 2 . 4 = 4.


Question : Find the area of a kite with the given length 2 and breadth 3 using Smart Trigonometry Method.
Answer : Find the area.
Area = a . b . Sin C = 2 . 3 . Sin(33) = 6 . 1 = 6.


Question : Find the perimeter of a kite with the given length 2 and breadth 3.
Answer : Find the perimeter.
Perimeter = 2[a + b] = 2.[2 + 3] = 2.[5] = 10.


That is example will clearly illustrates how to calculate the Area and Perimeter of a Kite Smart Math Formula.

Factoring

Polynomials

Solving System Of Linier Equations and Inequalities

Solving Linier Inequalities

Analizyng Linier Equattions

Graphing Realations and Functions

Solving Linier Equations

Real Number

The Language Of Algebra