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# As shown in the following figure, a space diagonal in a rectangular pr

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Math Expert
Joined: 02 Sep 2009
Posts: 52161
As shown in the following figure, a space diagonal in a rectangular pr  [#permalink]

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26 Apr 2018, 12:29
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Difficulty:

15% (low)

Question Stats:

97% (00:53) correct 3% (01:00) wrong based on 42 sessions

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As shown in the following figure, a space diagonal in a rectangular prism is a line that goes from a vertex of the prism, through the center of the prism to the opposite vertex. What is the length of the space diagonal of a 3 by 4 by 12 rectangular prism?

(A) 25
(B) 15
(C) 13
(D) 11
(E) 5

Attachment:

2018-04-27_0024_001.png [ 11.43 KiB | Viewed 546 times ]

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As shown in the following figure, a space diagonal in a rectangular pr  [#permalink]

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26 Apr 2018, 14:32
The formula for the length of the space diagonal of a rectangular prism is $$\sqrt{L^2+H^2+W^2}$$

where L = Length, H = Height and W = Width

$$\sqrt{3^2+4^2+12^2}$$

Hence option C = 13 is the answer.
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Re: As shown in the following figure, a space diagonal in a rectangular pr  [#permalink]

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26 Apr 2018, 23:34
Bunuel wrote:

As shown in the following figure, a space diagonal in a rectangular prism is a line that goes from a vertex of the prism, through the center of the prism to the opposite vertex. What is the length of the space diagonal of a 3 by 4 by 12 rectangular prism?

(A) 25
(B) 15
(C) 13
(D) 11
(E) 5

Attachment:
2018-04-27_0024_001.png

Ans: C

Three sides are given for the given figure and we know that for space diagonal the formula for calculating the value is = sqrt of (a^2+b^2+c^2)
by this ans is 13

Ans C
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Re: As shown in the following figure, a space diagonal in a rectangular pr  [#permalink]

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27 Apr 2018, 08:42
Attachments

2018-04-27_0024_001.png [ 12.3 KiB | Viewed 333 times ]

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Re: As shown in the following figure, a space diagonal in a rectangular pr  [#permalink]

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30 Apr 2018, 15:29
Bunuel wrote:

As shown in the following figure, a space diagonal in a rectangular prism is a line that goes from a vertex of the prism, through the center of the prism to the opposite vertex. What is the length of the space diagonal of a 3 by 4 by 12 rectangular prism?

(A) 25
(B) 15
(C) 13
(D) 11
(E) 5

Attachment:
2018-04-27_0024_001.png

diagonal^2 = length^2 + width^2 + height^2

d^2 = 3^2 + 4^2 + 12^2

d^2 = 9 + 16 + 144

d^2 = 169

d = 13

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Re: As shown in the following figure, a space diagonal in a rectangular pr &nbs [#permalink] 30 Apr 2018, 15:29
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