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clara38
06.10.2019 •
Mathematics
Jorge needs to ship a thin metal rod to a metalworking shop. the only boxes available for shipping are 7-inch cubes. to the nearest inch, what is the length of the longest metal rod that can be sent?
11 inches
12 inches
13 inches
14 inches
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Ответ:
The length of the longest metal rod that can be sent is 12 inches.
Step-by-step explanation:As given, the only boxes available for shipping are 7-inch cubes. As Jorge needs to ship a thin metal rod to a metalworking shop, he will put the rods diagonally or space diagonally in the box.
The space diagonal of a cube can be found by the formula :
=![\sqrt{3} x](/tpl/images/0294/4658/a4b54.png)
Here, x is 7 inches.
So, Diagonal is =![\sqrt{3} \times7](/tpl/images/0294/4658/bb35d.png)
=
inches.
Rounding this to nearest whole number we get 12.
So, the length of the longest metal rod that can be sent is 12 inches.
Ответ: