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If a cube has the same volume (in cubic units) as surface ar
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14 Sep 2018, 16:33
14 Sep 2018, 16:33
Expert Reply
00:00
Question Stats:
86% (00:31) correct
13% (01:38) wrong based on 38 sessions
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If a cube has the same volume (in cubic units) as surface area (in square units), what is the length of one side?
(A) \(1\)
(B) \(3\)
(C) \(\frac{5}{3}\)
(D) \(6\)
(E) No such cube is possible
(A) \(1\)
(B) \(3\)
(C) \(\frac{5}{3}\)
(D) \(6\)
(E) No such cube is possible
Re: If a cube has the same volume (in cubic units) as surface ar
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11 Apr 2020, 10:28
11 Apr 2020, 10:28
Expert Reply
Volume of cube = \(a^3\)
Surface area of cube = \(6a^2\).
\(a^3 = 6a^2\)
\(a^3 - 6a^2 = 0\)
\(a^2 *(a - 6) = 0\)
\(a =0 or a =6\).
\(a= 0\) not possible.
Hence \(a = 6\) is the ans.
Answer - D
Surface area of cube = \(6a^2\).
\(a^3 = 6a^2\)
\(a^3 - 6a^2 = 0\)
\(a^2 *(a - 6) = 0\)
\(a =0 or a =6\).
\(a= 0\) not possible.
Hence \(a = 6\) is the ans.
Answer - D
gmatclubot
Re: If a cube has the same volume (in cubic units) as surface ar [#permalink]
11 Apr 2020, 10:28
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