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  • The length, breadth, height of a room are 6.80m, 5.10m, and 3.40m respectively. Find the longest tape which can measure the dimensions of the room exactly?

The length, breadth, height of a room are 6.80m, 5.10m, and 3.40m respectively. Find the longest tape which can measure the dimensions of the room exactly?

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The longest dimension will be its body diagonal for body diagonal first find the face diagonal

                                                                                                                                               $$ df = sqrt (5.1)^2 + (6.8)^2 $$\$$ $$ df = 8.5 m $$

Length of body diagonal 

                                    $$ db = sqrt (8.5)^2 + (3.4)^2 $$\$$ $$ db = 9.155 m $$

So any tape longer than 9.155 m can measure all the dimensions of the room correctly. 

Posted by

Deependra Verma

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