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Mathematics LibreTexts

10.2: Solid

  • Page ID
    21642
  • This page is a draft and is under active development. 

    • Anonymous
    • LibreTexts
    \( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)

    Volume (V) is measured in cubic units and surface area (SA) is measured in square units.

    Cube

    Screenshot (288).png
    Figure \(\PageIndex{1}\)

    \[S A=6 s^{2}\]

    \[V=s^{3}\]

    Rectangular Solid

    Screenshot (289).png
    Figure \(\PageIndex{2}\)

    \[S A=2 l w+2 l h+2 w h\]

    \[V=l w h\]

    Right Circular Cylinder

    Screenshot (290).png
    Figure \(\PageIndex{3}\)

    \[S A=2 \pi r^{2}+2 \pi r h\]

    \[V=\pi r^{2} h\]

    Right Circular Cone

    Screenshot (292).png
    Figure \(\PageIndex{4}\)

    \[S A=\pi r^{2}+\pi r s\]

    \[V=\frac{1}{3} \pi r^{2} h\]

    Sphere

    Screenshot (293).png
    Figure \(\PageIndex{5}\)

    \[S A=4 \pi r^{2}\]

    \[V=\frac{4}{3} \pi r^{3}\]


    This page titled 10.2: Solid is shared under a not declared license and was authored, remixed, and/or curated by Anonymous.

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