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Find the length of the longest …

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Find the length of the longest rod that can be fitted into a cuboid having dimensions 1m,0.5m and 0.75m as length,breath and height respectively

    • Posted by Ankit Badesra 6 years ago

    CBSE > Class 08 > Mathematics
    • 1 answers

    Yogita Ingle 6 years ago

    Length of a room(l) = 1 m
    Breadth of a room(b) = 0.5 m
    Height of a room(h) = 0.75 m

    The length of the longest rod is the diagonal of the room.
    So, We have to find the diagonal of the cuboid.

    Diagonal of a cuboid = √ (l)² + (b)² + (h)²

    Diagonal of a cuboid = √ (1)² + (0.5)² + (0.75)²
    Diagonal of a cuboid = √ 1+ 0.25 + 0.5625
    Diagonal of a cuboid = √ 1.8125
    Diagonal of a cuboid = 1.346 m

    Hence , The length of the longest rod can be put in a room is 1.346 m.


     

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