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48 Part I: Technical Mathematics

Part I.E

Similarly, to convert square millimeters into square inches we use the reverse

operation; that is, we divide the square millimeters by a factor of 645.2. Thus,

1290.4 square millimeters = 1290.4 ÷ 645.2 = 2 square inches.

To convert volume units between the English and metric or SI systems, use the relationships

given in Table 5.14. For example, to convert cubic inches into cubic centimeters,

the table shows that we multiply the number of cubic inches by a factor of

16.38716. Thus, for instance, to convert two cubic inches into cubic centimeters:

2 cubic inches = 2 × 16.38716 = 32.77432 cubic centimeters

Similarly, to convert cubic centimeters into cubic inches we use the reverse operation;

that is, we divide the cubic inches by a factor of 16.38716. Thus,

32.77432 cubic centimeters = 32.77432 ÷ 16.38716 = 2 cubic inches.

To convert weight and mass units between the English and metric or SI systems,

use the relationships given in Table 5.15. For example, to convert pounds into

grams, the table shows that we multiply the number of pounds by a factor of 453.6.

Thus, for instance, to convert two pounds into grams:

2 pounds = 2 × 453.6 = 907.2 grams

Table 5.14 Converting measures of volume—English and metric units.

From To Multiply by Divide by

Cubic inches Cubic centimeters 16.38716

Cubic centimeters Cubic inches 16.38716

Cubic feet Cubic meters 0.02832

Cubic meters Cubic feet 0.02832

Cubic yards Cubic meters 0.7645

Cubic meters Cubic yards 0.7645

Table 5.15 Converting measures of weight and mass.

From To Multiply by Divide by

Pounds Grams 453.6

Grams Pounds 453.6

Pounds Kilograms 0.4536

Kilograms Pounds 0.4536

Tons Kilograms 907.2

Kilograms Tons 907.2

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