If the volume of a cube is x^3 cubic units, what is the

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AAPL: Moderator; Posts: 2749; Joined: Sun Oct 29, 2017 2:08 pmFollowed by: 2 members

by AAPL » Tue May 01, 2018 5:07 am

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If the volume of a cube is x^3 cubic units, what is the number of square units in the surface area of the cube?

A. x^2
B. x^3
C. x^6
D. 6x^2
E. 6x^3

The OA is D.

The highlighted part refer that the answer option must be a square so only options (A) and (D) remains...

Volume = x^3

Side = x

Total Surface area =6x^2. Option D.

Has anyone another approach to solve this PS question? Regards!

Source: Beat The GMAT — Problem Solving | Tue May 01, 2018 5:07 am

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by [email protected] » Tue May 01, 2018 3:52 pm

Hi swerve,

We're told that the volume of a cube is X^3 cubic units. We're asked for the number of SQUARE units in the SURFACE AREA of the cube. This question can be solved in a couple of different ways, including by TESTing VALUES.

IF... X = 2, then we have a 2x2x2 cube.
Each surface of the cube has an area of 2x2 = 4.
There are 6 surfaces, so the total surface area = (6)(4) = 24

Thus, we're looking for an answer that equals 24 when we use X=2. There's only one answer that matches...

Final Answer: D

GMAT assassins aren't born, they're made,
Rich

Contact Rich at [email protected]

Jeff@TargetTestPrep: GMAT Instructor; Posts: 1462; Joined: Thu Apr 09, 2015 9:34 amFollowed by: 22 members; Location: New York, NY; Thanked: 39 times

by Jeff@TargetTestPrep » Wed May 02, 2018 9:28 am

AAPL wrote:If the volume of a cube is x^3 cubic units, what is the number of square units in the surface area of the cube?

A. x^2
B. x^3
C. x^6
D. 6x^2
E. 6x^3

If the volume of a cube is x^3, then each edge is x. The surface area of one face of the cube is x^2, and since there are 6 faces, the cube’s surface area is 6x^2.

Answer: D

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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