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 59 a=90° FIGURE38.-StandardCross-SectionMethod(ParallelSections).A,Commonwedgeformula; B,cone(pyramid)formula;C,frustumofaconeformula. Inpractice,thefrustumformulaisavoidedbecauseofcomplications involvedincomputingsquarerootsandincertaincasesit islessaccurate thantheprismformula.Letus considerablockofaregularprism(volume ofwhichisV=SxL) anddivideitintotwo auxiliaryprismsintheformof truncatedwedgeswithareasS4andSBequalto 0.9SandareasS3and Ssequal to0.1S(fig.39)(30).    G   e   n   e   r   a    t   e    d   o   n    2    0    1    4     1    2     0    7    1    0   :    5    1    G    M    T    /    h    t    t   p   :    /    /    h    d    l  .    h   a   n    d    l   e  .   n   e    t    /    2    0    2    7    /   m    d   p  .    3    9    0    1    5    0    7    8    4    6    4    5    1    1    P   u    b    l    i   c    D   o   m   a    i   n  ,    G   o   o   g    l   e     d    i   g    i    t    i   z   e    d    /    h    t    t   p   :    /    /   w   w   w  .    h   a    t    h    i    t   r   u   s    t  .   o   r   g    /   a   c   c   e   s   s _   u   s   e    #   p    d    g   o   o   g    l   e

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  • 59

    a = 90

    FIGURE 38. - Standard Cross-Section Method (Parallel Sections). A, Common wedge formula;

    B, cone (pyramid) formula; C, frustum of a cone formula.

    In practice, the frustum formula is avoided because of complications

    involved in computing square roots and in certain cases it is less accurate

    than the prism formula. Let us consider a block of a regular prism (volume

    of which is V = S x L) and divide it into two auxiliary prisms in the form of

    truncated wedges with areas S4 and SB equal to 0.9S and areas S3 and Ss equal

    to 0.1S (fig. 39) (30).

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