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A chocolate box has a long triangular shape. The triangular

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A chocolate box has a long triangular shape. The triangular [#permalink] New post 30 Nov 2012, 15:03
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85% (01:45) correct 15% (03:52) wrong based on 20 sessions
Attachment:
Ttriangular.png
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A chocolate box has a long triangular shape. The triangular shaped end piece is an equilateral triangle. The length of the box is \(5\sqrt{3}\) inches, and the volume is 135. What is the value of x in inches?

A. \(\frac{9}{\sqrt{3}}\)
B. 3
C. 6
D. 9
E. \(9\sqrt{3}\)
[Reveal] Spoiler: OA

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Last edited by Bunuel on 01 Dec 2012, 05:30, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Geometry Problem Help [#permalink] New post 30 Nov 2012, 15:32
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You know that the Volume \(V=Area of the triangle * length --> Area = \frac{V}{length} = \frac{135}{5*\sqrt{3}} = \frac{27}{\sqrt{3}}\)
Then
Use the formula \(Area = a^2* \sqrt{3}/2\)

Thus \(a^2 = 27/\sqrt{3}*4/\sqrt{3} = 27*4/3= 36\) then \(a=\sqrt{36} = 6\)

C
Re: Geometry Problem Help   [#permalink] 30 Nov 2012, 15:32
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A chocolate box has a long triangular shape. The triangular

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