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A garbage can that is the shape of a rectangular prism is 10 inches long, 3 inches wide and 9 inches tall. To the nearest tenth, what is the approximate length of its longest diagonal?

 Sep 17, 2022
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Use Pythagoras's Theorem:

 

Let the diagonal ==D

 

D^2 ==10^2  +  9^2

D^2==181    Take the sqrt of both sides

D ==Sqrt(181) ==13.4536 ==~13.5 inches - longest diagonal.

 Sep 17, 2022

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