Find the length of the longest rod that can be kept in a rectangular box of dimensions 6cm,6cm, and 7cm?

pls answer me this question....:)

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    To find the length of the longest rod that can be kept in any rectangular box of three dimensions: x, y and z, we have to use the formula:

    d=(x^2+y^2+z^2)^0.5

    So the length of the longest rod that can be kept in the box you asked is:

    d=(6^2+6^2+7^2)^0.5

    d=(36+36+49)^0.5

    d=(121)^0.5

    d=11

    Therefore the length of the longest rod that can be kept in the rectangular box you mentioned is 11cm.

    Source(s): Study
  • 7 years ago

    diagonal of the square base = sqrt(6^2+6^2) = sqrt(72)

    rod length = diagonal of the rectangular box = sqrt( 72 + 7^2) = sqrt(121) = 11.

    Source(s): www.drkk.in
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