Determining the length of a rod
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?
a.11 inches
b.12 inches
c.13 inches
d.14 inches

The length of the longest metal rod that can be sent is 12 inches.

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 :

=

Here, x is 7 inches.

So, Diagonal is =

= 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.