Wednesday, January 9

Computer Solves Math Problems

Introduction to computer solves math problems:

Day-by-day, the technology is improving a lot. The computer solves the math problems in a simpler way. If we run various programs, the computer solves the math problems automatically. Apart from this, with the help of computers, the online tutor solves the math problems manually. In this article computer solves math problems, we are going to discuss few math problems.

Example Math Problems:

Example 1:

Find the perimeter of cube having the side length of 38 cm.

Solution:

Perimeter  =  12 `xx` a

=  12 `xx` 38

=  456 cm

Example 2:

Find the area of a regular hexagon given the side length a = 24 cm

Solution:

Area   =  `3 sqrt (3)/2` `xx`  a2 square units.

=  2.6 `xx`  242

=  2.6 `xx`  576

=  1497.6 cm2

Example 3:

Find the area of a triangle with base of 31 mm and a height of 22 mm.

Solution:

Area of a triangle  =  `1/2` `xx` b `xx` h

=  0.5  `xx` 31 `xx` 22

=  341 mm2

Example 4:

Find the volume of cone given the radius is 18 cm and height is 41 cm.

Solution:

Volume of cone  =  `1/3` `xx` `pi``xx` r2 `xx` h cubic units.

=  0.33 `xx` 3.14 `xx` 182 `xx` 41

=  0.33 `xx` 3.14 `xx` 324 `xx` 41

=  13764.88 cm3

Example 5:

Find the mode of the data set: { 13, 21, 65, 29, 29, 65, 66  }

Solution:

Step 1: The data set can be ordered as { 13, 21, 29, 29, 65, 65, 66 }

Step 2: In the data set, the values 29 and 65 occur two times.

Step 3: Hence, the modes are 29 and 65.

Math Problems to Practice:

1) Find the perimeter of cube having the side length of 30.5 cm.

Answer: Perimeter = 366 cm

2) Find the area of a regular hexagon given the side length a = 28 cm.

Answer: Area = 2038.4 cm2

3) Find the area of a triangle with base of 60 mm and a height of 13 mm.

Answer: Area = 390 cm2

4) Find the volume of cone given the radius is 13 cm and height is 17 cm.

Answer: Volume = 2977 cm3

5) Find the mode of the data set: { 105, 106, 360, 106, 366, 440  }

Answer: Mode = 106

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