Explore BrainMass

Explore BrainMass

    Minimization, maximization (Calculus)

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    An ant is walking around the outside of the cube in "straight" paths (where we define a straight path in this case as one formed by the edges of a cross section created by a plane slicing through the cube). For example, to get from point Q to point R in the picture above on the right, the ant walks along the red path. There are many different straight paths the ant can take, as you can imagine just by slicing the cube with different planes.

    1. Describe and find the length of the shortest possible path the ant could take to get from point A to point G.
    2. Describe and find the length of the longest path the ant could take to get from A to G.
    3. Describe and find the longest possible path the ant could take to get from point A to point B.

    Be sure to explain why you think your paths have the shortest and longest possible lengths.

    See attached file for full problem description.

    © BrainMass Inc. brainmass.com February 24, 2021, 2:18 pm ad1c9bdddf
    https://brainmass.com/math/calculus-and-analysis/minimization-maximization-calculus-12470

    Attachments

    Solution Preview

    Please see attached file.

    Ants Marching - posted January 5, 2004

    The cube on the left below has a surface area of 96 cm2.

    An ant is walking around the outside of the cube in "straight" paths (where we define a straight path in this case as one formed by the edges of a cross section created by a plane slicing through the cube). For example, to get from point Q to point R in the picture above on ...

    Solution Summary

    The expert describes the lengths of the shortest possible paths.

    $2.19

    ADVERTISEMENT