Question

A box is 8cm long and 6cm wide . If the height of the box is 24 cm , find the lenght of the longest stick which can come completely inside the box

Answer 1

hello answer is in the attachment

Answer 2

Answer:

the longest stick that we can fit in the box is 26 cm .

Step-by-step explanation:

Given that the sides of a box are 6 X 8 X 24 cm.

Then, we know that the longest part of the box is the diagonal.

Then we need to calculate the diagonal.

The diagonal is:

D = sqrt( a^2 + b^2 + c^2 ) where a , b, and, c are the sides of the box:

==> D = sqrt( 6^2 + 8^2 + 24^2)

==> D = sqrt( 36 + 64 + 576)

==? D = sqrt( 676)

==> D = 26

Then, the longest stick that we can fit in the box is 26 cm .