Question

The length , breadth and height of a room are 8m50cm , 6m25cm and 4m75cm respectively find the length of the longest rod that can measure the dimensions of the room exactly

Answer 1

ANSWER :

Length ( l ) = 8m 50cm = 8.5m

Breadth ( b ) = 6m 25 cm = 6.25m

Height ( h ) = 4m 75cm = 4.75m

Note :The maximum length of the rod that can be placed in a cuboid is along the diagonal. So, the rod of length equal to the diagonal is the maximum length which can be placed in cuboid.

$Diagonal \: = \sqrt{ {l}^{2} + {b}^{2} + {h}^{2} }$

$= > Diagonal = \sqrt{ {8.5}^{2} + {6.25}^{2} + {4.75}^{2} }$

$= > Diagonal \: = 11.57 \: m$

Therefore, the maximum length of rod that can be placed is 11.57 m

Hope this helps you☺☺

Answer 2

Answer:

Step-by-step explanation:

Length(l)=8m50cm=8.5m

Breadth(b)=6m25cm=6.25m

Height(h)=4m75cm=4.75m

Note:Themaximumlengthoftherodthatcanbeplacedinacuboidisalongthediagonal.So,therodoflengthequaltothediagonalisthemaximumlengthwhichcanbeplacedincuboid.

Therefore,themaximumlengthofrodthatcanbeplacedis11.57m

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