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A crate in the shape of a rectangular prism is 52 centimeters long, 39 centimeters wide, and 24 centimeters high. What is the length of the longest rod that can fit inside the crate? Enter the answer in the box. Round the answer to the nearest hundredth of a centimeter.​

Respuesta :

The length of the longest rod that can fit inside the crate is 69.29 cm.

The longest length of the rod that can fit inside the crate will be placed diagonally.

Therefore, lets find the diagonal of the rectangular prism.

Diagonal of a rectangular prism:

  • D =  √l² + w² + h²

where

l = length

w = width

h = height

Therefore,

D = √52² + 39² + 24²

D = √2704 + 1521 + 576

D = √4801

D = 69.2892488053

D ≈ 69.29  cm

learn more on rectangular prism here: https://brainly.com/question/15727706?referrer=searchResults

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