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Answer (C) 13
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2018-04-27_0024_001.png
2018-04-27_0024_001.png [ 12.3 KiB | Viewed 1838 times ]

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Bunuel

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

Answer: C
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