6th Grade Math Textbook, Progress

Relate Customary and Metric Units

13-7

Find the missing value to complete each proportion.

1. a.1 mile (mi) : 1.61 kilometers (km)
   3 mile : kilometers

b.1 liter (L) : 1.06 quarts (qt) 
5 liters : quarts

c.1 metric ton (t) : 1.102 tons (T) 
10 metric tons : tons

d.39.37 inches (in.) : 1 meter (m) 
150 inches :? meters

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While traveling in Italy, Mr. Santos bought an 80-cm long

leather belt as a gift. His friends wear 30-in., 34-in., and

36-in. belts. Which of them would the belt fit?

To find who the belt would fit, rename: 80 cm = in.

You can rename between customary and metric units of measure the

same way as you rename units within the customary or metric system.

The table below shows the equivalents between customary and metric units

of measure. Note that only the equivalent for inches and centimeters is

exact and all other equivalents are approximate.

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Customary and Metric Unit Equivalents

Length Capacity Weight/Mass

1 in.
2.54 cm 1 fl oz
30 mL 1 oz
28.35 g

1 m
39.37 in. 1 L
1.06 qt 1 kg
2.2 lb

1 mi
1.61 km 1 gal
3.79 L 1 metric ton (t)
1.102 T

80 cm
(802.54) in.

80 cm
31.5 in.

The belt would fit the one who wears a 30-in. belt.

Study these examples.

25 gal
 L 24 lb
 kg

25 gal
(253.79) L 24 lb
(242.2) kg

25 gal
94.75 L 24 lb
11.36 kg

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Think

A centimeter is a smaller unit

than an inch, so divide.

2.54 cm
1 in.

Think

1 gal 1 L,

so multiply.

1 gal
3.79 L

Think

1 lb 1 kg,

so divide.

2.2 lb
1 kg

2.0

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