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cat2010
Joined: 26 Nov 2022
Last visit: 18 Mar 2023
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GMAT 1: 700 Q46 V40
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31 Dec 2022, 00:19
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
36% (01:19) correct
64%
(01:36)
wrong
based on 89
sessions
History
Date
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Not Attempted Yet
A solid in three-dimensional coordinate space has four vertices, at points (0,0,0), (12,0,0), (0,8,0), and (A,B,C) for some positive values of A,B,C. What is the volume of the solid?
Statement 1: A=B
Statement 2: C=30
Statement 1: A=B
Statement 2: C=30
andrenoble
Joined: 06 Aug 2021
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WE:Business Development (Healthcare/Pharmaceuticals)
17 Jun 2023, 05:47
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Could someone please verify the OA? I'm struggling to find the volume if we are not given the exact shape of the solid, i.e., it could be a pyramid or not.
17 Jun 2023, 08:05
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(0,0,0), (12,0,0) and (0,8,0) can define the base of the solid, given that it has only 4 points. If this is the base, the volume is (1/3)*S*h, in which S is the area of the triangle formed by the previous 3 points, and h is the z-coordinate of the ṕoint (A,B,C), or, in other words, h=|C|. The values of A and B doesn't matter to define the volume of this solid.
1) insuf
2) suf
B
1) insuf
2) suf
B
