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Geometry

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How does the volume of a rectangular prism change if the width is reduced to 1/10 of its original size, the height is reduced to 1/4 of its original size, and the length is reduced to 2/3 of its original size?

A. V=1/120lwh
B. V=1/60lwh
C. V= 2/3lwh
D. V=3/4lwh

  • Geometry - ,

    Is it B?

  • Geometry - ,

    V = L w H
    new V = (2/3)L * (1/10) w * (1/4) H
    = (2/120) LwH = (1/60) LwH

  • Geometry - ,

    Yes

  • Geometry - ,

    original dimensions: l, w, h
    volume = lwh

    new length --- 2l/3
    new width ---- w/10
    new height = h/4
    new volume + (2l/3)(h/4)(w/10)
    = 2 lwh/120
    = lwh/60 or (1/60)lwh

    so , yes, it is B

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