# The base dimensions of a right rectangular prism are 6 inches by 8 inches and the height is 24 inches. What is the length of the largest stick that can be placed inside the prism?

Given, l = 8 inches

b= 6 inches

h = 24 inches

Therefore, diagonal

$= \sqrt { l^{2} + b^{2} +h^{2}} \\ = \sqrt{ 65 +36+ 576} \\ = \sqrt{676}\\ = 26$

Hence, largest stick = 26 inches

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