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Metric Units of Length
milli - means thousandth
1mm = 0.001m
centi - means hundredth
1cm = 0.01m
1m = 100cm
kilo - means thousand
1km = 1,000m
1m = 0.001km
Metric Units of Mass and Capacity
Metric Units of Mass:
1kg = 1,000g
0.001 kg = 1g
1g = 1,000mg
0.001g = 1mg
Metric Units of Capacity
1kL = 1.000L
0.001 kL = 1L
1L = 1,000 mL
0.001L = 1mL
Converting Units in the Customary System
1foot (ft) = 12 inches (in)
1 yard (yd) = 3 feet (ft)
1 mile (mi) = 5,280 feet (ft)
1 pound (lb) = 16 ounces (oz)
1 gallon (gal) = 4 quarts (qt)
1 quart = 2 pints (pt)
1 pint (pt) = 2 cups (c)
Converting Between Measurement Systems
1 in ≈ 2.54 cm
1 km ≈ 0.62mi
1 in² ≈ 6.45 cm²
1 in³ ≈ 16.39 cm³
1 L ≈ 1.06 qt
1 oz ≈ 28 g
1 kg ≈ 2.2 lb
Computing with Customary Measures
When you solve problems with customary units of measure, you must change the units of measurement.
To find the perimeter of a given geometric figure, you add the lengths of the sides.
Find missing lengths.
8 - 7 = 1
4 - 1 = 3
x = 3 ft
3 + 3 = 6
8 - 6 = 2
y = 2 ft
8 + 7 + 3 + 3 + 2 + 4 + 3 + 8 = 38
Perimeter = 38 ft
Area of Rectangles and Squares
Area = Base x Height
The area is expressed in square + unit such as square inches (in²), square feet (ft²), or square centimeter (cm²).
The diameter of a circle is the distance across the circle through its center.
The radius is the distance from the center to any point on the circle.
Surface Area of Triangular Prisms
Triangular prisms has two of the same sizes for the top and the base. Find areas of the three rectangular shape sizes. Add them together.
Surface Area of Cylinders
1. Find areas of circle. A = π x r²
2. Multiply circle's area by two. (Top + Base)
3. Find area of rectangle.
4. Add them together.
Area of circle = 3.14 x 2² = 12.56
Area of circles = 12.56 x 2 =25.12
Base of rectangle = 3.14 x 4 =12.56
Area of rectangle = 12.56 x 5 = 62.80
Area of cylinder = 25.12 + 62.80 = 87.92 in²
Volume of Triangular Prisms
Base = Triangle
Area of Triangle = (Base x Height) ÷ 2
Volume = Area of triangle x height
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