CONVERTING INCHES TO CENTIMETERS

To solve many real world problems, we may have to convert inches to centimeters. 

We can convert inches to centimeters by using the shortcut 

1 inch  ≃  2.54 centimeters 

That is, we have to multiply the given inches by 2.54 to convert it to centimeters. 

Example 1 :

The length of a sheet of paper is 11 inches. What is this length in centimeters ? 

Solution : 

We can use a bar diagram to solve this problem. Each part represents 1 inch.

The total length of the above bar diagram is 11 inches and its has been divided into 11 equal parts, each part represents 1 inch

We know that 

1 inch  ≃  2.54 centimeters

There are eleven 2.54 centimeters in the above bar diagram.  

Then, we have

11 inches  =  11 x 2.54 centimeters

11 inches  =  27.94 centimeters

Another method :

Another way to solve this problem is to write a proportion and find equivalent ratios.

In this method also, we get the same answer. 

That is,

11 inches  =  27.94 centimeters

So, the length of the sheet of paper is 27.94 centimeters approximately.

Example 2 :

The height of a tree is 98 inches. Find the height of the tree in centimeters.  

Solution : 

We know that 

1 inch  ≃  2.54 centimeters

We want to convert 98 inches to centimeters.   

Then, we have

98 inches  =  98 x 2.54 centimeters

98 inches  =  248.92 centimeters

So, the height of the tree is 248.92 centimeters approximately.

Example 3 :

The length of a wood is 135 inches. If the wood is cut into 45 pieces of equal length, find the length of each in centimeters. 

Solution : 

The length of each piece in inches is

=  135 / 45

=   3 inches

Now, the length of each piece in centimeter is 

=  3 x 2.54 

=  7.62 centimeters 

So, the length of each piece is 7.62 centimeters approximately. 

Example 4 :

The length of a iron rod is 90 inches. If 40% of the rod is melted, find the length of remaining rod in centimeters ? 

Solution : 

If 40% is melted, the remaining will be 60%.

Then, the length of the remaining rod in inches is 

=  60% x 90

=   0.6 x 90

=  54 inches

Now, the length of the remaining rod in centimeters is 

=  54 x 2.54 

=  137.16 centimeters 

So, the length of the remaining rod is 137.16 centimeters approximately. 

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