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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