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A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches, as shown. If the straw fits exactly into the box diagonally from the bottom left corner to the top right back corner, how long is the straw? Leave your answer in simplest radical form.

A straw is placed inside a rectangular box that is 3 inches by 6 inches by 8 inches as shown If the straw fits exactly into the box diagonally from the bottom l class=

Respuesta :

The straw is placed diagonally in the rectangular prism, therefore, the length of the straw is √109 inches

How to find the diagonal of a rectangular prism?

Diagonal of a rectangular prism = √(l² + w² + h²)

Where,

  • l = length
  • w = width
  • h = height

Therefore,

l = 6 inches

w = 3 inches

h = 8 inches

diagonal = √(6² + 3² + 8²)

diagonal = √36 + 9 + 64

diagonal = √109 inches

learn more rectangular prism here:https://brainly.com/question/21888893

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