Contemporary Mathematics

# Formula Review

### 9.1The Metric System

You can convert between unit sizes with the same base unit using the conversion factors shown in Figure 9.4.

### 9.2Measuring Area

To determine the area of rectangular-shaped objects:

$Area=length (l)×width (w) Area=length (l)×width (w)$

$or A=l×wor A=l×w$
Figure 9.17 Rectangle with Length $(l)(l)$ and Width $(w)(w)$ Labeled

You can convert between metric area units using the conversion factors shown in Figure 9.7.

### 9.3Measuring Volume

To determine the volume of a rectangular prism:

$Volume= length (l)×width (w)×height(h)Volume= length (l)×width (w)×height(h)$
$orV=lwhorV=lwh$
Figure 9.18 Rectangular Prism with Height $(h)(h)$, Length $(l)(l)$, and Width $(w)(w)$ Labeled

You can convert between metric volume units and metric capacity units using the relationships shown in Table 9.2.

### 9.4Measuring Weight

You can convert between metric weight units using the conversion factors shown in Figure 9.14.

### 9.5Measuring Temperature

To convert temperature from Fahrenheit to Celsius:

$C=59(F−32)C=59(F−32)$

To convert temperature from Celsius to Fahrenheit:

$F=95C+32F=95C+32$

To estimate temperature from Fahrenheit to Celsius:

$C=F−302C=F−302$

To estimate temperature from Celsius to Fahrenheit:

$F=2C+30F=2C+30$