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16 Sep 2014, 00:41
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If each of a cube's edges grows by 20%, what will be the percentage increase in the surface area of the cube?
A. 25%
B. 33%
C. 44%
D. 56%
E. 73%
A. 25%
B. 33%
C. 44%
D. 56%
E. 73%
16 Sep 2014, 00:41
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Bookmarks
Official Solution:
If each of a cube's edges grows by 20%, what will be the percentage increase in the surface area of the cube?
A. 25%
B. 33%
C. 44%
D. 56%
E. 73%
Let \(a\) represent the length of the edge of the original cube. The surface area of the original cube is given by \(6a^2\). The surface area of the new cube will be \(6 *(1.2a)^2 = 1.44*a^2\). Consequently, the surface area will increase by 44%.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is a percent word problem question. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example.
Answer: C
If each of a cube's edges grows by 20%, what will be the percentage increase in the surface area of the cube?
A. 25%
B. 33%
C. 44%
D. 56%
E. 73%
Let \(a\) represent the length of the edge of the original cube. The surface area of the original cube is given by \(6a^2\). The surface area of the new cube will be \(6 *(1.2a)^2 = 1.44*a^2\). Consequently, the surface area will increase by 44%.
Note that this is not a Geometry question. While it uses basic knowledge of lines and figures, it is a percent word problem question. There are 8 questions within GMAT Prep Focus Edition that use similar principles. Here is one example.
Answer: C
04 Feb 2024, 07:33
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I have edited the question and the solution by adding more details to enhance its clarity. I hope it is now easier to understand.
