Cube  If any number multiply by itself three time, then result is know as Cube . We denote the Cube of x by x 3 Example :  x × x × x = x 3 2×2×2 = 2 3  = 8 Cube root The is a given number x is the number whose Cube is x .  We denote the Cube root of x by ∛x . Example : ∛x×x×x = x ∛8 =∛2×2×2 = 2  1) Rule : Cube of that number which is made by 1 . Example : 1) 11 3 Step I       11×11×11 Step II  = 121×11→  1 / 1+2 / 2+1 / 1 Step III  =                   1 /3 /3 /1                 =                    1331 2) 111 3 Step I       111×111×111 Step II  =  12321×111 Step III  =  1/ 1+2 / 1+2+3 / 2+3+2 / 3+2+1 / 2+1 / 1 Step IV   =  1/ 3/ 6 /7 /6 /3 /1                 =   1367631 3) 1111 3 + Step...

Important Formula  : Cuboid :      Let Length = l       Breadth = b       Height = h      then i) Volume of Cuboid = (l X b X h ) cube units. ii) Whole Surface Area of Cuboid = 2(lb X bh X hl ) sq. units iii) Length of  Diagonal of Cuboid = √ l 2 + b 2 + h 2   units. Cube: Let each edge of Cube be a units . Then, i) Volume of the  Cube = a 3 cubic units. ii) Whole surface of the Cube = 6a 2  sq. units. iii) Diagonal of the Cube = √3a units. Cylinder : Let radius of base be r & height or length be h . i) Volume of the Cylinder =  πr 2 h cubic units. ii) Curved surface area of the Cylinder = 2πrh sq. units iii) Total surface area of the  Cylinder = 2πr 2  + 2πrh                                                        = 2πr( r + h ) Cone : Le...

Fo rmulas on Area                                                                                      1 1) Area of Triangle = --------- X base X heigh t                                                  2 2) Area of Triangle = √s(s-a)(s-b)(s-c) where a, b, c are sides of Triangle                                                 a+b+c and semi perimeter S = -----------------------                                   ...