Question

Length breadth and height of a room are 8 m 25 cm, 6 m 75 cm and 4 m 50 cm respectively find the length of the longest rod that can measure the three dimensions of the room exactly

Answer 1

Answer:

1157.04m (Approximate)

Step-by-step explanation:

Given,

    Length of room = 8m 25cm = 825 cm

    Breadth of room = 6m 75cm = 675 cm

    Height of room = 4m 50cm = 450 cm

Length of diagonal of cuboid = $\sqrt{l^2+b^2+h^2}$

∴ Length of longest stick that can fit in cuboidal room

              = Length of diagonal of cuboidal room

              = $\sqrt{l^2+b^2+h^2}$

              = $\sqrt{825^2+675^2+450^2}$

              = $\sqrt{680625+455625+202500}$

              = $\sqrt{1338750}$

              = 1157.04m ( Approximately)

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