   # An orange has a volume of 54 cm 3 . Convert this quantity into each of the following units: mm 3 in . 3 dm 3 ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692

#### Solutions

Chapter
Section ### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 30E
Textbook Problem
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## An orange has a volume of 54 cm 3 . Convert this quantity into each of the following units: mm 3 in . 3 dm 3

Interpretation Introduction

Interpretation:

The volume of the orange, 54 cm3, is to be converted into given units.

Concept Introduction:

 Dimensional analysis is useful in converting one unit to another.

 To convert a quantity, au1, from one unit to another, that is u1u2, first write the conversion factor, u2u1, then multiply the conversion factor with the given quantity, au1, and cancel the units to get the quantity in the desired unit as follows:

au1×u2u1=au2

### Explanation of Solution

a) mm3

To convert cm3 to mm3, first write the correct conversion factor by using the following relationship:

1 cm=10 mm(1cm)3=(10 mm)31 cm3=1000 mm3

Thus, the correct conversion factor is (1000 mm31 cm3).

Multiply the conversion factor with the given quantity, and cancel the units to get the desired quantity.

Hence,

(54 cm3×1000mm31 cm3)=5.4×104 mm3

b) in.3

To convert cm3 to in.3, first write the correct conversion factor by using the following relationship:

2.54 cm=1 in.(2.54 cm)3=(1in.)316.38 cm3=1 in.3

Thus, the correct conversion factor is (1 in

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