**Converting between measurement systems worksheet :**

Worksheet on converting between measurement systems is much useful to the students who would like to practice problems on converting units between metric and customary systems.

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

2. Tanya covers 80 miles of distance in 2 hours. Find her speed in kilometer per hour.

3. The height of the oak tree is 2.5 meters. What is the height of the oak tree in feet ?

4. The weight of a person is 60 kilograms. Find the weight of the same person in pounds.

Use the table below to convert units from customary to metric system and metric to customary system.

**Problem 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

From the above table, in length section of customary to metric conversion, we get

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**

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

**Problem 2 :**

Tanya covers 160 miles of distance in 2 hours. Find her speed in kilometer per hour.

**Solution : **

We know the formula for speed.

That is,

Speed = Distance / Time

Speed = 160 miles / 2 hours

Speed = 80 miles per hour

To find the speed in kilometer per hour, we have to convert 80 miles into kilometers.

From the above table, in length section of customary to metric conversion, we get

1 miles **≃ **1.61 kilometers

So, we have

80 miles = 80 x 1.61 kilometers

80 miles = 128.8 kilometers (Approximately)

Hence, the speed of Tanya is 128.8 kilometers per hour approximately.

**Problem 3 :**

The height of the oak tree is 2.5 meters. What is the height of the oak tree in feet ?

**Solution : **

To find the height of the oak tree in feet, we have to convert 2.5 meters into feet.

From the above table, in length section of metric to customary conversion, we get

So, we have

1 meter **≃** 3.28 feet

2.5 meters = 2.5 x 3.28 feet

2.5 meters = 8.2 feet (Approximately)

Hence, the height of the oak tree is 8.2 feet approximately.

**Problem 4 :**

The weight of a person is 60 kilograms. Find the weight of the same person in pounds ?

**Solution : **

To find the weight of the person in pounds, we have to convert 60 kilograms into pounds.

From the above table, in weight/mass section of metric to customary conversion, we get

So, we have

1 kilogram **≃** 2.20 pounds

60 kilograms = 60 x 2.20 pounds

60 kilograms = 132 pounds (Approximately)

Hence, the weight of the person is 132 pounds approximately.

After having gone through the stuff given above, we hope that the students would have understood "Conversion between measurement systems worksheet".

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