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13 Feb 2023, 03:07
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D
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Difficulty:
5%
(low)
Question Stats:
91% (00:48) correct
9%
(00:47)
wrong
based on 74
sessions
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What is the volume of cube C ?
(1) The sum of the areas of the faces of the cube is 150
(2) The greatest possible distance between two points on the cube is \(5\sqrt{3}\)
(1) The sum of the areas of the faces of the cube is 150
(2) The greatest possible distance between two points on the cube is \(5\sqrt{3}\)
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
23 Feb 2023, 10:08
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What is the volume of cube C ?
Let 'a' be the side of the cube C. Then volume = a^3
(1) The sum of the areas of the faces of the cube is 150
total surface area of cube = 6a^2 = 150.
or a^2 = 25 or a = 5. Therefore volume = 5^3 = 125.
Sufficient
(2) The greatest possible distance between two points on the cube is 5√3
The greatest possible distance between two points on the cube is the largest diagonal = √3a = 5√3
or a = 5. Therefore volume = 5^3 = 125.
Sufficient
Answer D
Let 'a' be the side of the cube C. Then volume = a^3
(1) The sum of the areas of the faces of the cube is 150
total surface area of cube = 6a^2 = 150.
or a^2 = 25 or a = 5. Therefore volume = 5^3 = 125.
Sufficient
(2) The greatest possible distance between two points on the cube is 5√3
The greatest possible distance between two points on the cube is the largest diagonal = √3a = 5√3
or a = 5. Therefore volume = 5^3 = 125.
Sufficient
Answer D
29 Jun 2025, 11:12
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