6. The maximum length of a rod, that can be kept in a
rectangular box of dimension 8 cm x6 cm x 2 cm, is
(a) 2 13 cm
(b) 2V14 cm
(c) 2126 cm
(d) 10,2 cm
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Step-by-step explanation:
your answer is c
but i am not confirm
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The maximum length of the rod that can be placed in a cuboid is 25.73 cm
Given,
dimensions of cuboid = 22.5 cm * 10 cm * 7.5cm
We know,
maximum length of rod = length of diagonal of the cuboid
Length of diagonal of cuboid is given as :
d = \sqrt{l^{2}+b^{2} +h^{2} }l2+b2+h2
where,
l is the length of the cuboid,
b is the breadth of cuboid and
h is the height of the cuboid
Substituting the values in the formula,
d = \sqrt{22.5^{2}+10^{2} +7.5^{2} }22.52+102+7.52
d = \sqrt{506.25+100+56.25}506.25+100+56.25
d = \sqrt{662.25}662.25
d = 25.73 cm
Hence,
The maximum length of the rod that can be placed in a cuboid is 25.73 cm
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