Question

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

Answer 1

Answer:

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 :

$D=\sqrt{x^{2}+x^{2}+x^{2} }$

= $\sqrt{3} x$

Here, x is 7 inches.

So, Diagonal is = $\sqrt{3} \times7$

= $1.732\times7=12.12$ 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.

Answer 2

12 inches would be the longest