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A rectangular prism has a length of $3$, a width of $5$, and a height of $11$. What is the distance between two opposite corners of the prism?

 Dec 26, 2023

Best Answer 

 #2
avatar+128460 
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sqrt ( 3^2 + 5^2 + 11^2)  = sqrt [ 155 ]  units  ≈  12.45  units

 

cool cool cool

 Dec 28, 2023
 #1
avatar+1763 
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Diagonal across the base: This can be calculated using the Pythagorean theorem on the right triangle formed by half the width, half the length, and the diagonal across the base.

 

Applying the formula, we get 25​2+23​2=d12​, where d1​ is the diagonal across the base. Solving for d1​, we get d1​=38​​.

 Dec 26, 2023
 #2
avatar+128460 
+1
Best Answer

sqrt ( 3^2 + 5^2 + 11^2)  = sqrt [ 155 ]  units  ≈  12.45  units

 

cool cool cool

CPhill Dec 28, 2023

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