Another Math Question - The Cube And The Termite

[kuiperbelt]

Please see link below:

https://ibb.co/K2mYNVv

[Atheist]

15.7

[bhg481]

Yes, the hypotenuse of a 14 x 7 triangle.

[Atheist]

The diagonal of a 14 x 7 rectangle, which is what you get when you unfold two adjacent sides of the cube.

[ToraToraTora]

I make it 15.652

[drmorgans]

12.12?

The diagonal for the base square is root-2 98 (7 squared + 7 squared)

The A-B diagonal is then root-2 of 145 (98 + 7 squared)

[bhg481]

Question asked for 1 decimal place.

[drmorgans]

Please ignore my stupidity, i.e. should have read the question properly.

[Hopkirk]

European or Asian termite?

[Gizmonster]

For anyone that can't visualise it, here's a diagram:

https://ibb.co/0Z289Tb

Unfold the cube.
The termite will crawl up face 1 and along face 2 along the line AB.

So yea I agree with the answers, the line AB is given by:

√ (14² + 7² )
AB = √ 245
AB = 15.7 cm

[Arrods]

OK At the risk of making a fool of myself, isn't drmorgans correct, on the basis that we're talking about a termite if you see what I mean?

[perseverer]

The shortest route in distance is through the cube, the shortest in time is on the faced, assuming termites crawl faster than bore.

[Atheist]

The original question didn't make clear that the termite should only move on the surface of the cube. I presumed that it should.
If the OP wishes to clarify, then I'd be interested to know.
Kuiper... Who got it right?

[1581960]

It might help if we knew what the cube was made of, but certainly an ambiguous question as it's posed.

[ToraToraTora]

if the termite must use the surface it's 15.7 if it can tunnel it's 12.1, end of.

[Togo]

16.989949493661167cm. Or 16.99cm.

[ToraToraTora]

workings togs?

[Togo]

Te square of the hypotenuse is equal to the sum of the squares of the adjacent sides. 7squared+7 squared is 98. the square root of 98 plus 7cm is 16.989949493661167.

[Atheist]

Togo; you've got it wrong.

[ToraToraTora]

nearly togs....

[ToraToraTora]

Togs: √(7²+14²)=15.7 to one DP