**Converting within measurement systems worksheet :**

Worksheet on converting within measurement systems is much useful to the kids who would like to practice problems on customary and metric system of units.

1. Convert 3.5 yards into inches.

2. Convert 3.5 tons into pounds .

3. Convert 24 quarts into gallons

4. Convert 3.5 decimeters into centimeters.

5. Convert 48 milligrams into centigrams.

6. Convert 3.5 deciliters into centiliters.

7. David travels 60 miles in two hours. How many yards of distance will he cover in one minute ?

8. Mark jogged 15840 feet in 45 minutes. Find the speed of Mark in feet per minute.

9. Use a fraction to find the length in meters of a tile that is 9 centimeters long.

10. Kevin has a pole that is 24 meters tall. If Kevin sets the pole on a 300 centimeters stand, how far from the floor will the top of the pole be (in meters) ?

**Problem 1 :**

Convert 30 inches into feet.

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

30 inches = 30 / 12 feet

30 inches = 2.5 feet

Hence, 30 inches is equal to 2.5 feet

**Problem 2 :**

Convert 2 pounds into ounces.

**Solution : **

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 pounds = 2 x 16 ounces

2 pounds = 32 ounces

Hence, 2 pounds is equal to 32 ounces.

**Problem 3 :**

Convert 32 cups into quarts.

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

32 cups = 32 / 4 quarts

32 cups = 8 quarts

Hence, 32 cups is equal to 8 quarts.

**Problem 4 :**

Convert 30 decimeters into meters.

**Solution : **

**Here, we convert smaller unit into bigger unit. So we have to divide.**

30 decimeters = 30/10 meters

30 decimeters = 3 meters

Hence, 30 decimeters is equal to 3 meters.

**Problem 5 :**

Convert 2 kilograms in to grams.

**Solution : **

Here, we convert bigger unit into smaller unit. So we have to multiply.

2 kg = 2 x 1000 grams

2 kg = 2000 grams

Hence, 2 kg is equal to 2000 grams.

**Problem 6 :**

Convert 3.5 deciliters into centiliters.

**Solution : **

**Here, we convert bigger unit into smaller unit. So we have to multiply.**

3.5 deciliters = 3.5 x 10 centiliters

3.5 deciliters = 35 centiliters

Hence, 3.5 deciliters is equal to 35 centiliters.

**Problem 7 :**

David travels 60 kilometers in two hours. How many meters of distance will he cover in one minute ?

**Solution : **

Distance covered in 2 hours = 60 kilometers

Distance covered in 1 hour = 30 kilometers

We know that 1 hour = 60 minutes and 1 kilometer = 1000 m

1 hour -----> 30 km =====> 60 minutes -----> 30 x 1000 m

60 minutes -----> 30000 meters

So, distance covered in 60 minutes = 30000 meters

Distance covered in one minute = 30000 / 60 meters

= 500 meters

Hence 500 meters of distance covered in 1 minute.

**Problem 8 : **

Mark jogged 15840 meters in 45 minutes. Find the speed of Mark in meter per minute.

**Solution : **

Speed = Distance / Time

Speed = 15840 / 45

Speed = 352 meters per minute

Hence the speed of Mark is 352 meters per minute.

**Problem 9 : **

Becky and Keith each ran for exactly 20 minutes on a treadmill. Keith’s treadmill said he had run 10,000 feet. Becky’s treadmill said she had run 2 miles. Who ran farther, and how much farther?

**Solution : **

**Both Becky and Keith took the same amount of time. That is 20 minutes.**

**Distance covered by Becky and Keith are given in different units. (Miles and Feet)**

**We have to make the units to be same. **

**Let us convert miles in to feet. **

**So, 2 miles = 2 x 5280 feet = 10560 feet **

**Therefore,**

**Distance covered by Becky = 10560 feet -----(1) **

**Distance covered by Keith = 10000 feet ****-----(2)**

**Difference between (1) and (2) ----> 10560 - 10000 **

**= 560 feet**

Hence Becky ran farther by 560 feet.

**Problem 10 : **

David prepares 24 pounds of metal in 1 hour 36 minutes. At the same rate, How many ounces of metal will he prepare in one minute ?

**Solution : **

1 hour 36 minutes = 60 min + 36 min = 96 minutes

1 pound = 16 ounces

24 pounds = 24 x 16 ounces = 384 ounces

1 hour 36 min --> 24 pounds ==> 96 minutes --> 384 pounds

So, no. of pounds prepared in 96 minutes = 384 ounces

No. of ounces prepared in in one minute = 384 / 96 = 4

Hence 4 ounces of metal is prepared in one minute.

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