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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2508
Given Kudos: 1053
GPA: 3.39
If cube X has an edge of length e and cube Y has an edge of length e +
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15 Feb 2023, 09:53
15 Feb 2023, 09:53
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If cube X has an edge of length e and cube Y has an edge of length e + 1, how much greater is the total surface area of cube Y than that of cube X?
A. 12e + 6
B. 6(e + 1)2
C. e + 1
D. e
E. 1
A. 12e + 6
B. 6(e + 1)2
C. e + 1
D. e
E. 1
Re: If cube X has an edge of length e and cube Y has an edge of length e +
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18 Feb 2023, 01:16
18 Feb 2023, 01:16
Expert Reply
Surface Area of a cube is \(6a^2\)
So, Difference in the total surface area of cube Y than that of cube X is -
\(= 6 { ( e + 1 )^2 - e^2 }\)
\(= 6 { ( e + 1 - e ) ( e + 1 + e ) }\)
\(= 6 { (1 ) ( 2e + 1) }\)
\(= 12e + 6\), Answer must be (A)
So, Difference in the total surface area of cube Y than that of cube X is -
\(= 6 { ( e + 1 )^2 - e^2 }\)
\(= 6 { ( e + 1 - e ) ( e + 1 + e ) }\)
\(= 6 { (1 ) ( 2e + 1) }\)
\(= 12e + 6\), Answer must be (A)
gmatclubot
Re: If cube X has an edge of length e and cube Y has an edge of length e + [#permalink]
18 Feb 2023, 01:16
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