Geometry: Cuboidal Problem

[tauseef10jan2004]

A cuboidal room 8 feet wide, 12 feet long and 14 feet high has an attic at a height of 7 feet along its length. If the attic is 4 feet wide, what is the length of the longest ladder that can be put from one of its corner to the attic?

(A) sqrt(404)
(B) sqrt(209)
(C) sqrt(272)
(D) 13
(E) 17.89

Thanks in advance

[the_g_mat_ter]

Ans (B)

Typically here we need to find the diagonal of a cuboid whose length = 12, width = 4 and height = 7. see the below figure


The length of the hypotenuse of orange triangle will give us the answer to the question.

Hyp = sqrt(60+49) = sqrt(209) ans B

[Ozlemg]

Ans (B)

Typically here we need to find the diagonal of a cuboid whose length = 12, width = 4 and height = 7. see the below figure


The length of the hypotenuse of orange triangle will give us the answer to the question.

Hyp = sqrt(160+49) = sqrt(209) ans B

Well done. Just a little typo

[the_g_mat_ter]

Ooops, sorry for the typo