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.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: