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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters

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Bunuel
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   07 May 2019, 23:43
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24
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C
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Archit3110
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   07 May 2019, 23:48
Bunuel wrote:
A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24


longest diagonal ; √144+16+9 ; 13
IMO C
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   07 May 2019, 23:51
The answer should be the diagonal
Therefore roughly the answer should be around 13
IMO C

[size=80][b][i]Posted from my mobile device[/i][/b][/size]
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   16 May 2019, 18:23
Archit3110 wrote:
Bunuel wrote:
A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24


longest diagonal ; √144+16+9 ; 13
IMO C


Hello Archit3110!

Are you using a special formula?

Kind regards!
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jfranciscocuencag
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   18 May 2019, 11:26
sumi747 wrote:
The answer should be the diagonal
Therefore roughly the answer should be around 13
IMO C

Posted from my mobile device


sumi747

Hello!

Are you using a special formula?

Kind regards!
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   18 May 2019, 11:46
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jfranciscocuencag wrote:
sumi747 wrote:
The answer should be the diagonal
Therefore roughly the answer should be around 13
IMO C

Posted from my mobile device


sumi747

Hello!

Are you using a special formula?

Kind regards!


Hey jfranciscocuencag
I am just using the formula for diagonal of a cube
√(length^2+width^2+height^2)
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   20 May 2019, 02:43
If you draw this 3D shape out you will easily see that one side will be a 3-4-5 triangle. Then, considering the length of the other dimension, two of the sides are 5-12. Recognising this as a 5-12-13 triangle, you know the remaining side (and longest diagonal in the shape) is 13.
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Re: A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   20 May 2019, 02:45
jfranciscocuencag
its formula to find longest side ; √l^2+b^2+h^2
this will give us the max side value

jfranciscocuencag wrote:
Archit3110 wrote:
Bunuel wrote:
A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters. What is the length, in meters, of the longest, straight, inflexible rod of negligible diameter that can be placed completely within the crate?

A. 12
B. 12.6
C. 13
D. 19
E. 24


longest diagonal ; √144+16+9 ; 13
IMO C


Hello Archit3110!

Are you using a special formula?

Kind regards!
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters [#permalink] New post   20 May 2019, 03:30
jfranciscocuencag wrote:
sumi747 wrote:
The answer should be the diagonal
Therefore roughly the answer should be around 13
IMO C

Posted from my mobile device


sumi747

Hello!

Are you using a special formula?

Kind regards!


Hi, you don't need any formula except from Pifagor's theorem on right triangle.

As you see \(ABC\) is a right triangle whose hypotenuse is \(AB\). \(AB^2 = AC^2 + CB^2 = 5\)

\(ABD\) is also a right triangle whose hypotenuse is \(AD\). \(AD^2 = AB^2 + BD^2 = 13\)

Hence C
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Re: Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 [#permalink] New post   17 Nov 2020, 08:07
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Re: Qs.1. A rectangular wooden crate has inside 3 dimensions, 3 [#permalink]
17 Nov 2020, 08:07
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