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Difficulty:
25%
(medium)
Question Stats:
90% (01:59) correct
10%
(02:51)
wrong
based on 30
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A rectangular solid (cuboid) has three faces, having areas 12, 45, and 60. What is the volume of the solid?
(A) 180
(B) 200
(C) 240
(D) 600
(E) 900
_________________
(A) 180
(B) 200
(C) 240
(D) 600
(E) 900
_________________
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Bunuel
I'll start with an assumption that these are going to be integer values, since I think it's highly unlikely we'd see non-integer values for a question like this.
The 45 could be 1*45, 3*15, or 5*9. But we can eliminate 1*45 and 5*9 since neither of the other dimensions could share the 45 or the 9. So, we have one face that's 3*15.
The 15 from above has to be shared with the 60, so the second face is 15*4.
That makes the third face 3*4.
The figure is 3*4*15. Volume is 180.
Answer choice A.
Volume of a rectangular solid is length x width x height.
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