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

Question

pls answer me this question....:)

Answer 1

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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

Answer 2

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