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02 Jul 2022, 12:15
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A
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Difficulty:
15%
(low)
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
02 Jul 2022, 12:33
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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.
02 Jul 2022, 14:59
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Volume of a rectangular solid is length x width x height.
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