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505-555 (Easy)|   Geometry|      
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Bunuel
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 07 May 2019, 23:43
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C
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15% (low)

Question Stats:

80% (01:01) correct 20% (01:08) wrong based on 84 sessions

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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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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 07 May 2019, 23:48
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Bunuel
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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longest diagonal ; √144+16+9 ; 13
IMO C
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 07 May 2019, 23:51
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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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jfranciscocuencag
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 16 May 2019, 18:23
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Archit3110
Bunuel
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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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 18 May 2019, 11:26
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The answer should be the diagonal
Therefore roughly the answer should be around 13
IMO C

Posted from my mobile device
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sumi747

Hello!

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 18 May 2019, 11:46
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jfranciscocuencag
sumi747
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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Hey jfranciscocuencag
I am just using the formula for diagonal of a cube
√(length^2+width^2+height^2)
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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 20 May 2019, 02:43
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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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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 20 May 2019, 02:45
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jfranciscocuencag
its formula to find longest side ; √l^2+b^2+h^2
this will give us the max side value

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Archit3110
Bunuel
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 20 May 2019, 03:30
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jfranciscocuencag
sumi747
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!
Show more

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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A wooden crate has inside dimensions 3 meters by 4 meters by 12 meters 17 Nov 2020, 08:07
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