We invite you to test your GMAT knowledge for a chance to win! Each week, we will post a new Challenge Problem for you to attempt. If you submit the correct answer, you will be entered into that week’s drawing for a free Manhattan GMAT Prep item. Tell your friends to get out their scrap paper and start solving!

Here is this week’s problem:

An insect is located at one corner (point

A) on the surface of a rectangular solid that measures 3 x 4 x 5 inches, as shown in the diagram.

Note: Figure is not drawn to scale.If the insect crawls along the surface of the rectangular solid to the opposite corner (point

B), what is the shortest possible length, in inches, of the insect’s path from pointAto pointB?

To see the answer choices, and to submit your answer, visit our Challenge Problem Showdown page on our site.

Discuss this week’s problem with like-minded GMAT takers on our Facebook page.

The weekly winner, drawn from among all the correct submissions, will receive One Year of Access to our Challenge Problem Archive, AND the GMAT Navigator, AND Our Six Computer Adaptive Tests ($92 value).

10 Inches

Hint: a^2+b^2=c^2