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09 May 2019, 02:00
Kudos
Bookmarks
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (01:05) correct
21%
(01:28)
wrong
based on 52
sessions
History
Date
Time
Result
Not Attempted Yet
The volume of a cube with edge 3 is how many times the volume of a cube with edge \(\sqrt{3}\)?
A. 1/3
B. 1
C. 3
D. \(3 \sqrt{3}\)
E. 9
A. 1/3
B. 1
C. 3
D. \(3 \sqrt{3}\)
E. 9
Archit3110
Major Poster
09 May 2019, 03:06
Kudos
Bookmarks
Bunuel
cube 1 ; vol 27
cube 2 ; vol 3√3
ratio
27/3√3 ; \(3 \sqrt{3}\)
IMO D
09 May 2019, 06:19
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Bunuel
Say \(V1\) = \(3 * 3 * 3 = 27\) cum
\(V2 =\) \(\sqrt{3} * \sqrt{3} * \sqrt{3}\) = \(3\sqrt{3}\)
\(V1 =\) \(p * V2\) (Say V1 = p times V2)
\(27\) = \(p *\) \(3\sqrt{3}\)
\(p = \frac{27}{3\sqrt{3}}\)
\(p = \frac{9}{\sqrt{3}}\)
\(p = 3\sqrt{3}\) (By rationalisation)
