You are wrapping a gift box. you want to tie a ribbon around the box , so that whenever the ribbon intersects an edge of the box, its distance to the nearest corner is 1/3 the length of the box. how long must the ribbon be?

You are wrapping a gift box. The length of ribbon = length + width + height of box.

Solution:

Given, You are wrapping a gift box.  

You want to tie a ribbon around the box, so that whenever the ribbon intersects an edge of the box, its distance to the nearest corner is 1/3 the length of the box.  

We have to find how long must the ribbon be?

The figure of this problem is attached below

Now, assume we started to tie at one edge, then next we can tie at straight parallel edge, we can continue till our process ends.

Then, total length of the ribbon = length of box + width of box + height of box.

Hence, the length of ribbon = length + width + height of box.

step-by-step explanation: