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26 Apr 2018, 13:29
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C
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Difficulty:
15%
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Question Stats:
92% (00:57) correct
8%
(01:37)
wrong
based on 49
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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 2288 times ]
26 Apr 2018, 15:32
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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.
where L = Length, H = Height and W = Width
\(\sqrt{3^2+4^2+12^2}\)
Hence option C = 13 is the answer.
27 Apr 2018, 00:34
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Bunuel
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
