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25 Jul 2016, 10:16
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
93% (00:24) correct
7%
(00:36)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
What is the length of a side of a certain cube?
(1) The volume of the cube is 27
(2) The surface area of the cube is 54
(1) The volume of the cube is 27
(2) The surface area of the cube is 54
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
25 Jul 2016, 12:11
Kudos
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Bunuel
Let the side of a cube.
Stat 1: V = 27 => a^3 = 3^3 => a = 3. Sufficient.
Stat 2: Surface area of a cube is 6a^2 = 54 => a^2 = 9 => a = 3. Sufficient..
IMO option D is correct..
OA please...will correct if I missed anything..
15 Mar 2017, 19:35
Kudos
Bookmarks
What is the length of a side of a certain cube?
(1) The volume of the cube is 27
(2) The surface area of the cube is 54
This question asks us to identify the length of a particular side of a cube- a cube, like a square, has congruent sides. Therefore, the length, width and height of the cube are equal- if we know the measurement of any of these then we can calculate the answer.
Statement (1) tells us that the volume of the cube is 27. Given that the length, width and height must all be equal we can simply take 27 to the cube root and solve for x. Sufficient.
Statement (2) tells us that the surface area of the cube is 54- we can solve for the side lengths using algebra. Given that the surface area of a cube is 2(l)(w) + 2(w)(h) + 2(w)(l) and that all sides must be congruent we can set up the equation
2(x)(x) + 2(x)(x) + 2(x)(x) = 54
(x)(x) + (x)(x) + (x)(x)= 27
3(x)^2=27
x^2=9
x=3
Sufficient.
(1) The volume of the cube is 27
(2) The surface area of the cube is 54
This question asks us to identify the length of a particular side of a cube- a cube, like a square, has congruent sides. Therefore, the length, width and height of the cube are equal- if we know the measurement of any of these then we can calculate the answer.
Statement (1) tells us that the volume of the cube is 27. Given that the length, width and height must all be equal we can simply take 27 to the cube root and solve for x. Sufficient.
Statement (2) tells us that the surface area of the cube is 54- we can solve for the side lengths using algebra. Given that the surface area of a cube is 2(l)(w) + 2(w)(h) + 2(w)(l) and that all sides must be congruent we can set up the equation
2(x)(x) + 2(x)(x) + 2(x)(x) = 54
(x)(x) + (x)(x) + (x)(x)= 27
3(x)^2=27
x^2=9
x=3
Sufficient.
