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# What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 9 cm​ wide, and 7 cm​ tall?

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What is the longest line segment that can be drawn in a right rectangular prism that is 14 cm​ long, 9 cm​ wide, and 7 cm​ tall?

Apr 18, 2022

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The longest line segment is the main diagonal.

If you want the length of it:

$$\begin{array}{cl} &\text{Length of main diagonal}\\ =& \sqrt{14^2 + 9^2 + 7^2}\\ =& \sqrt{326} \end{array}$$

Apr 18, 2022

#1
+9461
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$$\begin{array}{cl} &\text{Length of main diagonal}\\ =& \sqrt{14^2 + 9^2 + 7^2}\\ =& \sqrt{326} \end{array}$$