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) ?
11) Katie poured 12 oz of juice from a full 6 qt container. How many cups of were left in the container ?
12) Jarel bought 3 containers of cottage cheese, each weighting 24 oz. How many pounds did she buy ?
13) The area of the rectangle is 45 square inches. One dimension is 5 inches. What is the perimeter?
14) A countertop is 16 feet long and 3 feet wide.
a. What is the area of the countertop in square meters? square meters
b. Tile costs $28 per square meter. How much will it cost to cover the countertop with new tile?
1. Answer :
Here, we convert smaller unit into bigger unit. So we have to divide.
30 inches = 30 / 12 feet
30 inches = 2.5 feet
2. Answer :
Here, we convert bigger unit into smaller unit. So we have to multiply.
2 pounds = 2 x 16 ounces
2 pounds = 32 ounces
3. Answer :
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.
4. Answer :
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.
5. Answer :
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.
6. Answer :
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.
7. Answer :
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
8. Answer :
Speed = Distance / Time
Speed = 15840 / 45
Speed = 352 meters per minute
9. Answer :
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
10. Answer :
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
11. Answer :
1 quart = 32 ounces
6 quart = 6 x 32
= 192 ounces
Quantity of each cup = 12 ounces
Number of cups to be filled = 192/12
= 16 cups
12. Answer :
Weight of each container = 24 oz
Number of containers he has purchased = 24 (3)
= 72 ounces
1 pound = 16 ounces
Converting ounces to pounds, we get
= 72/16
= 4.5 pounds
So, she has purchased 4.5 pounds.
13. Answer :
Area of rectangle = 45 square inches
length x width = 45
one dimension = 5 inches, let length be 5 inches
5 x width = 45
width = 45/5
= 9 inches
So, width of the rectangle is 9 inches
14. Answer :
a) Area = length x width
= 16 x 3
48 square feet
b) Cost per square meter = $28
Required cost = 48(28)
= $1344
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