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You can easily convert common units and measures electronically, but you still should be able to use a conversion table, such as those in Appendix D. Table 1-6 is part of a conversion table for a system of volume measures once common in Spain; a volume of 1 fanega is equivalent to 55.501 dm3 (cubic decimeters). To complete the table, what numbers (to three significant figures) should be entered in (a) the cahiz column, (b) the fanega column, (c) the cuartilla column, and (d) the almude column, starting with the top blank? Express 7.00 almudes in (e) medios, (f) cahizes, and (g) cubic centimeters (cm3)

Short Answer

Expert verified

(a)ThenumbersthatshouldbeenteredinCahizcolumnare:1fanega=8.3310-2cahiz,1curtilla=2.0810-2cahiz,1almude=6.9410-3cahiz,1medio=3.4710-3cahiz(b)ThenumbersthatshouldbeenteredinFanegacolumnare:1cutilla=0.25fanega,1almude=8.3310-2fanega,1medio=4.1710-2fanega(c)ThenumbersthatshouldbeenteredinCurtillacolumnare:1almude=0.333curtillaand1medio=0.167curtilla(d)ThenumbersthatshouldbeenteredinAlmudecolumnare:1medio=0.5almude(e)7almude=14medio(f)7almude=4.8610-2cahiz(g)7almude=3.2410-4cm3

Step by step solution

01

Given data

The conversion factors given in the problem are listed below:

The conversion factor from fanega to cahiz is12fanega=1cahiz

The conversion factor from fanega to cahiz is 1cahiz=48curtilla.

The conversion factor from cahiz to cutilla is 1cahiz=144almude

The conversion factor from cahiz to almude is 1cahiz=288medio

The conversion factor from cahiz to medio is 1fanega=4curtilla

The conversion factor from fanega to curtilla is 1fanega=12almude

The conversion factor from fanega to almude is, 1fanega=24medio

The conversion factor from fanega to medio is, 1curtilla=3almude

The conversion factor from curtilla to almude is, 1curtilla=6medio

The conversion factor from curtilla to medio is, 1almude=2medio

The conversion factor from almude to medio is, 1almude=2medio.

02

Understanding the conversion factors

Unit conversion is the conversion between different units of measure for the same quantity, usually through multiplier conversion factors. Use the given conversion factors to convert the quantities from one unit to other.

03

(a) Conversion of the given units to Cahiz

Cahiz column:

1)Thegivenconversionfactoris12fanega=1cahiz.1fanega=112cahiz=8.3310-2cahizTherefore,1fanegaisis8.3310-2cahiz2)Thegivenconversionfactoris1cahiz=48curtilla1curtilla=148cahiz=2.0810-2cahizTherefore,1curtillais2.0810-2cahiz3)Thegivenconversionfactoris1cahiz=144almudeThus,1almude=1144cahiz=6.9410-3cahizTherefore,is4)Thegivenconversionfactoris1cahiz=288medio1medio=1288cahiz=3.4710-3cahizTherefore,1mediois3.4710-3cahiz.

04

(b) Conversion of the given units to Fanega

Fanega column:

1)Thegivenconversionfactoris1fanega=4curtilla1curtilla=14fanega=0.25fanegaTherefore,1curtillais0.25fanega2)Thegivenconversionfactoris,1fanegaSo,Therefore,1almudeis8.3310-2fanega3)Thegivenconversionfactoris,1fanega=24medio1medio=124fanega=4.1710-2fanegaSo,1mediois4.1710-2fanega

05

(c) Conversion of the given units to Curtilla

Curtilla column:

1)Thegivenconversionfactoris1cutilla=3almude1almude=13curtillaSo,1almudeis0.333curtilla.2)Thegivenconversionfactoris1curtilla=6medio1medio=16curtilla=0.167curtillaSo,1mediois0.167curtilla.

06

(d) Conversion of the given units to Almude

Almude column:

Thegivenconversionfactoris1almude=2medio.1medio=12almude=0.5almudeSo,1mediois0.5almude.

07

(e) Conversion of the given units to medio

Thegivenconversionfactoris1almude=2medio.7almude=72medio=14medioTherefore,7almudeis14medio.

08

(f) Conversion of the given units to cahiz

1almude=1144cahiz=6.9410-3cahizSo,7almude=76.9410-3cahiz=4.8610-2cahizTherefore,7almudeis4.8610-2cahiz

09

(g) Conversion of the given units to centimeters

1almude=112fanega=8.3310-2fanega1fanega=55.501dm3=55501cm37almude=78.3310-255501cm3=3.2410-4cm3Therefore,7almudeis3.2410-4cm3.

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