Measurement

1 foot = 12 inches

1 meter = 100 centimeters


Basics

There are two common systems of measurement:
(1) US
(2) Metric

Within these two systems, some of the most common measurements are in the following tables.

Distance – US      
Inch (in) Foot (ft) Yard (yd) Mile
1 12 in 3 ft 5280 ft
1760 yd
Distance – Metric
Millimeter (mm) Centimeter (cm) Meter (m) Kilometer (km)
1 10 mm 100 cm
1000 mm
1000 m
Distance

 

Area – US      
Square Inch (in²) Square Foot (ft²)
1 1 ft² = 1 in² ÷ 12² = 1 ÷ 144
Area – Metric
Square Centimeter (cm²) Square Meter (m²)
1 1 m² = 1 cm² ÷ 100² = 1 ÷ 10000
Area

 

Volume – US      
Cubic Inch (in³) Cubic Foot (ft³)
1 1 ft³ = 1 in³ ÷ 12³ = 1 ÷ 1728
Volume – Metric
Cubic Centimeter (cm³) Cubic Meter (m³)
1 1 m³ = 1 cm³ ÷ 100³ =
1 ÷ 1000000
Volume

 

Mass – US    
Ounce (oz) Pound (lb) Ton
1 16 oz 2000 lb
Mass – Metric
Milligram (mg) Gram (g) Kilogram (kg)
1 1000 mg 1000 g
Mass


Question
How many feet are in 6 inches?

Answer
0.5 feet

Answer Process
Feet = Inches ÷ 12 inches per foot
Feet = 6 ÷ 12 = 0.5 feet

Input Display Comment
clear blinker clears screen
6 ÷ 12 6÷12 Feet = Inches ÷ 12 inches per foot
enter 0.5 Answer
Measurement


Question

How many meters are in 75 centimeters?

Answer
0.75 meters

Answer Process
Meters = Centimeters ÷ 100 centimeters per meter
Meters = 75 ÷ 100 = 0.75 meters

Input Display Comment
clear blinker clears screen
75 ÷ 100 75÷100 Meters = Centimeters ÷ 100 centimeters per meter
enter 0.75 Answer
Measurement


Question

How many square feet are in 288 square inches?

Answer
2 square feet

Answer Process
Square Feet = Square Inches ÷ 144 square inches per square foot
Square Feet = 288 ÷ 144 = 2 square feet

Input Display Comment
clear blinker clears screen
288 ÷ 144 288÷144 Square Feet = Square Inches ÷ 144 square inches per square foot
enter 2 Answer
Measurement


Question

How many square meters are in 3500 square centimeters?

Answer
0.35 square meters

Answer Process
Square Meters = Square Centimeters ÷ 10000 square centimeters per square meter
Square Meters = 3500  ÷ 10000 = 0.35 square meters

Input Display Comment
clear blinker clears screen
3500 ÷ 10000 3500÷10000 Square Meters = Square Centimeters ÷ 10000 square centimeters per square meter
enter 0.35 Answer
Measurement


Question

How many cubic feet are in 4320 cubic inches?

Answer
2.5 cubic feet

Answer Process
Cubic Feet = Cubic Inches ÷ 1728 cubic inches per cubic foot
Cubic Feet = 4320 ÷ 1728 = 2.5 cubic feet

Input Display Comment
clear blinker clears screen
4320 ÷ 1728 4320÷1728 Cubic Feet = Cubic Inches ÷ 1728 cubic inches per cubic foot
enter 2.5 Answer
Measurement


Question

How many cubic meters are in 450000 cubic centimeters?

Answer
0.45 cubic centimeters

Answer Process
Cubic Meters = Cubic Centimeters ÷ 1000000 cubic centimeters per cubic meter
Cubic Meters = 450000 ÷ 1000000 = 0.45 cubic meters

Input Display Comment
clear blinker clears screen
450000 ÷ 1000000 450000÷1000000 Cubic Meters = Cubic Centimeters ÷ 1000000 cubic centimeters per cubic meter
enter 0.45 Answer
Measurement


Question

How many pounds are in 4 ounces?

Answer
0.25 pounds

Answer Process
Pounds = Ounces ÷ 16 ounces per pound
Pounds = 4 ÷ 16 = 0.25 pounds

Input Display Comment
clear blinker clears screen
4 ÷ 16 4÷16 Pounds = Ounces ÷ 16 ounces per pound
enter 0.25 Answer
Measurement


Question

How many grams are in 675 milligrams?

Answer
0.675 grams

Answer Process
Grams = Milligrams ÷ 1000 milligrams per gram
Grams = 675 ÷ 1000 = 0.675 grams

Input Display Comment
clear blinker clears screen
675 ÷ 1000 675÷1000 Grams = Milligrams ÷ 1000 milligrams per gram
enter 0.675 Answer
Measurement


Practice – Questions

1.  How many feet are in 9 inches?

2.  How many meters are in 35 centimeters?

3.  How many pounds are in 10 ounces?

4.  How many grams are in 333 milligrams?

5.  With reference to Question 4, round your answer to the nearest hundredth.

6.  How many square feet are in 864 square inches?

7.  How many square meters are in 570000 square centimeters?

8.  How many cubic feet are in 12960 cubic inches?

9.  How many cubic meters are in 8850000 cubic centimeters?

10.  With reference to Question 9, round your answer to the nearest tenth.


Practice – Answers

1.  0.75

2.  0.35

3.  0.625

4.  0.333

5.  0.33

6.  6

7.  57

8.  7.5

9.  8.85

10.  8.9

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