M is a rectangular solid. Find the volume of M
Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.
Statement #2: All three dimensions of M are positive integers greater than one.
OA C
Source: Magoosh
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M is a rectangular solid. Find the volume of M
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BTGmoderatorDC
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Say the three dimensions of M are a, b and c and b being the height of M.BTGmoderatorDC wrote:M is a rectangular solid. Find the volume of M
Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.
Statement #2: All three dimensions of M are positive integers greater than one.
OA C
Source: Magoosh
We have to get the volume of M = abc.
Thus, from Statement 1, we have ab = 28 and bc = 35. We can get the unique value of abc. Insufficient.
Statement 2 is certainly insufficient.
From Statement (1) and (2):
We have ab = 28 = 2*14 = 4*7 and bc = 35 = 5*7. Since b is common between ab and bc, b can be 7; thus, a = 4 and c = 5. Thus, abc = 4*7*5 = 140. Sufficient
The correct answer: C
Hope this helps!
-Jay
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