# Determine the number of a . square centimeters (cm 2 ) in 1 square meter (m 2 ) b . cubic inches (in . 3 ) in 1 cubic yard (yd 3 ) c . square centimeters (cm 2 ) in 1 square foot (ft 2 )

### Chemistry In Focus

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

Chapter
Section

### Chemistry In Focus

7th Edition
Tro + 1 other
Publisher: Cengage Learning,
ISBN: 9781337399692
Chapter 2, Problem 32E
Textbook Problem
1 views

## Determine the number of a . square centimeters (cm 2 ) in 1 square meter (m 2 ) b . cubic inches (in . 3 ) in 1 cubic yard (yd 3 ) c . square centimeters (cm 2 ) in 1 square foot (ft 2 )

Interpretation Introduction

Interpretation:

Each number for the given unit is to be determined.

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 a conversion factor u2u1, then multiply the conversion factor with the given quantity au1, cancelling units to get the quantity in the desired unit as follows:

au1×u2u1=au2

### Explanation of Solution

a) Square centimeters (cm2) in 1 square meter (m2).

To convert m2 to cm2, first write the correct conversion factor by using the following relationship:

1 m=100 cm(1m)2=(100 cm)21 m2=10000 cm2

Thus, correct conversion factor will be (10000 cm21 m2).

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

Hence,

1 m2×10000cm21 m2=104 cm2

b) Cubic inches (in.3) in 1 cubic yard (yd3).

To convert yd3 to in.3, first write the correct conversion factor by using the following relationship:

1 yd=3 ft(1yd)3=(3 ft)31 yd3=27 ft3

And

1 ft=12 in.(1ft)3=(12 in.)31 ft3=1728 in.3

Thus, correct conversion factors will be (27 ft31 yd3)and(1728 in.31 ft3).

Multiply the conversion factors with the given quantity, cancelling units to get the desired quantity

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