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19 Apr 2019, 02:34
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B
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[GMAT math practice question]
The areas of three faces of a rectangular solid are 12, 15 and 20. What is the volume of the rectangular solid?
A. 30
B. 60
C. 180
D. 900
E. 3600
The areas of three faces of a rectangular solid are 12, 15 and 20. What is the volume of the rectangular solid?
A. 30
B. 60
C. 180
D. 900
E. 3600
19 Apr 2019, 05:29
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MathRevolution
Let x = the width
Let y = the length
Let z = the height
So, the volume = xyz
Area of one face = 12
We can write: xy = 12
Area of one face = 15
We can write: xz = 15
Area of one face = 20
We can write: yz = 20
Combine to get: (xy)(xz)(yz) = (12)(15)(20)
Simplify: x²y²z² = 3600
Rewrite as: (xyz)² = 60²
So, xyz = 60
In other words, the volume = 60
Answer: B
Cheers,
Brent
General Discussion
Chethan92
Joined: 18 Jul 2018
Last visit: 21 Apr 2022
Posts: 900
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Given Kudos: 95
Location: India
Concentration: Operations, General Management
Schools: IIMB EPGP'22 (M)
GMAT 1: 590 Q46 V25
GMAT 2: 690 Q49 V34
WE:Engineering (Energy)
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19 Apr 2019, 02:46
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12 = 4*3
15 = 5*3
20 = 4*5.
The sides of the rectangle are 3,4 and 5.
Volume = 3*4*5 = 60.
B is the answer
Posted from my mobile device
15 = 5*3
20 = 4*5.
The sides of the rectangle are 3,4 and 5.
Volume = 3*4*5 = 60.
B is the answer
Posted from my mobile device
