Another Math Question - The Cube And The Termite

[kuiperbelt]

Please see link below:

https://ibb.co/K2mYNVv

[Togo]

Hah 16.899. ie 16.9 used a calculator for that one. Did the other on paper ... old school.

[ToraToraTora]

still wrong, it's the hypotenuse of a triangle 7 x 14 =square root of 196 + 49 which is 15.7

[ToraToraTora]

see gismonster's diagram.

[Togo]

Point A to the opposite corner of the top face of the cube is. 9.89949494936611665.cm. To ground is 7cm = 16.899etc. 16.9.

It is the same if the termite goes diagonally from ground and then to point A.

[ToraToraTora]

no, see gismonsters diagram

[ToraToraTora]

https://ibb.co/0Z289Tb

[ToraToraTora]

it's a to the middle of the top front edge then on to point b
it's √ (14² + 7² )
or if you prefer 2*(√ (3.5² + 7² ) )

[Togo]

Why would the termite need to unfold the cube? it would climb the vertical side and then take the diagonal, or take the diagonal and along the edge to A. Clever these termites you know. Further to that the question does not tell us the length of the termite. If it was 2mm long then the distance would be reduced by 2mm when as long as it was still in contact with ground as it started. There are also many more ways to unfold the cube than the way that Giz has.

[Togo]

Giz is correct mind. Haha.

[ToraToraTora]

"Why would the termite need to unfold the cube? " - that is just a device to show the shortest route over the surface, you are going across one face to the opposite corner then along one edge that gives a longer route. √98+7 = 16.89
Go from one corner to the middle of the edge then from there to the corner, see diagram - √(7²+14²) = 15.7

[ToraToraTora]

forget the termite the question is basically what is the shortest distance from a to b over the surface, 15.7 (12.2 if through the cube)

[Togo]

Didn't "see" the unequal triangle of a square when I starter TTT. Then I did. Been a long day and I have been irradiated once more TTT. Doh.

[Hopkirk]

Surely a termite was chosen for its ability to chew through things.

[jno]

no, it has to "scale" the cube not eat it.

[Atheist]

TTT. Middle of the edge is wrong. I'm surprised at you.

[kuiperbelt]

Thank you Gizmonster for the diagram!!