9.6.3: Formula Review

Contemporary Mathematics · LibreTexts

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    9.1 The Metric System

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

    9.2 Measuring Area

    To determine the area of rectangular-shaped objects:

    \[\text { Area }=\operatorname{length}(l) \times \operatorname{width}(w) \nonumber \]

    \[\begin{array}{c}
    \text { or } \\
    A=l \times w
    \end{array} \nonumber \]

    A rectangle with its longest side marked the length and the shortest side marked the width.
    Figure 9.17: Rectangle with Length and Width Labeled

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

    9.3 Measuring Volume

    To determine the volume of a rectangular prism:

    \[\begin{array}{c}
    \text { Volume }=\text { length }(l) \times \operatorname{width}(w) \times \text { height }(h) \\
    \text { or } \\
    V=l w h
    \end{array} \nonumber \]

    A rectangular prism with its length, width, and height marked l, w, and h.
    Figure 9.18: Rectangular Prism with Height , Length , and Width Labeled

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

    9.4 Measuring Weight

    You can convert between metric weight units using the conversion factors shown in this Table

    9.5 Measuring Temperature

    To convert temperature from Fahrenheit to Celsius:

    \[C=\frac{5}{9}(F-32) \nonumber \]

    To convert temperature from Celsius to Fahrenheit:

    \[F=\frac{9}{5} C+32 \nonumber \]

    To estimate temperature from Fahrenheit to Celsius:

    \[C=\frac{F-30}{2} \nonumber \]

    To estimate temperature from Celsius to Fahrenheit:

    \[F=2 C+30 \nonumber \]

    This page titled 9.6.3: Formula Review was last modified on Thu, 02 Jan 2025 09:45:46 GMT and is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform.