Wednesday, April 24, 2013

Studying For Math

Introduction to studying math problems:

Mathematics is the studying of quantity, structure, space, and change. Mathematicians seek out patterns, formulate new conjectures, and establish truth by rigorous deduction from appropriately chosen axioms and definitions. Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences. In this article we shall studying math problem with detailed solution. (Source: wikipedia)


Studying for math example problems


Example:

The diameter of a cylinder base is 18 cm and the height of the cylinder is 13 cm. Find the solid cylinder surface area.

Solution:

Radius of cylinder = 9 cm

Surface area of cylinder = 2πr (r + h)

=2x`22/7` x9x (9+13)

= 2x`22/7` x9x (22)

=2x3.142x198

=1244cm^2

Example:

Isolate the variable x in the equation

8x + 2y = 16.

Solution:

The following steps are used to isolate variable x in the given equation

Subtracting the value  2y from both sides of the equation

8x + 2y - 2y = 16 - 2y

Simplify the above equation it gives the equation as:

8x = 16 - 2y

Now to divide the equation both side by 8both sides of the equation
8x / 8 = (16 - 4y) / 8

x = (16 - 4y) / 8

Now we get the isolated x.

Example:

Find the volume of a cylinder the area of the base of the cylinder is 18 cm^2 and the height of the cylinder is 12 cm.

Solution:

Volume of cylinder = Area of base of cylinder x height of cylinder

= 18 cm^2 x 12 cm

= 216 cm^3

Problem:

Find the triangle perimeters, whose length of a triangle sides are 22 cm, 35 cm and 50 cm,

Solution:

Perimeter of triangle formula = a+ b+ c

a=22

b=35

c=50

Perimeter of triangle = 22 + 35 + 50 = 107

Therefore perimeter of triangle = 107

Is this topic Perimeter and Area of Similar Figures hard for you? Watch out for my coming posts.

Studying for math practice problems


Problem:

Find the volume of a cylinder the area of the base of the cylinder is 20 cm^2 and the height of the cylinder is 11 cm.

Answer:

220 cm^3

Problem:

Isolate the variable x in equation

6x + 4y = 12.

Answer:

x = (12 - 4y) / 8

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