math question

[Dental2000]

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What is the largest distance between any 2 points inside a rectangular box whose dimensions are 3, 4, 5?


any help will be appreciated

 

[toothhornet88]

What is the largest distance between any 2 points inside a rectangular box whose dimensions are 3, 4, 5?


any help will be appreciated

for this question always use this formula sqrt(3^2+4^2+5^2) and you get ur answer. Thats the quickest way! 🙂 courtesy of Math Destroyer!

Short way:
sqrt (9+16+25)--> sqrt(50)

Here is the long way:

1.Get hypotenuse of sides 5&4 ---> sqrt(41)
2. Get hypotenuse of side 3& sqrt (41)---> sqrt(50)

 

[PooyaH]

^ yeah. This is the rectangular coordinates in three dimensions. Sometime they give you the coordinates of the two points and you just plug them into the distance formula. But in this case you can just plug in the dimensions given.

 

[toothhornet88]

^ yeah. This is the rectangular coordinates in three dimensions. Sometime they give you the coordinates of the two points and you just plug them into the distance formula. But in this case you can just plug in the dimensions give.

exactly!

 

[KyoPhan]

Pretty much what they said.

http://library.thinkquest.org/2647/geometry/measure/measure.htm

It is the Distance Formula in Space: equation

So you have to imagine that the bottom, lower left corner of the box is (0,0,0). The furthest corner would be (3,4,5)
If you need further explanation, let me know and I'll draw it out for you.

 

[Dental2000]

cool thanks, ill remember it as a rule....