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Two equilateral triangles, each of area (√3), and three squares were

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Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post Updated on: 06 Nov 2014, 05:31
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Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...

Originally posted by vinraj on 05 Nov 2014, 12:34.
Last edited by Bunuel on 06 Nov 2014, 05:31, edited 1 time in total.
Renamed the topic and edited the question.
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Re: Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post 06 Nov 2014, 05:50
1
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vinraj wrote:
Image
Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...


Attachment:
VOLUME_WORD_PROBLEMS_01.GIF
VOLUME_WORD_PROBLEMS_01.GIF [ 3.65 KiB | Viewed 2647 times ]

The volume of a prism is (area of the base)*(height).

The area of equilateral triangle is \(side^2*\frac{\sqrt{3}}{4}\). Thus we have that \(side^2*\frac{\sqrt{3}}{4}=\sqrt{3}\) --> \(side=2\).

From the image given we can infer that the side of the triangles is also the side of the squares. Since the side of the square is the height of the prism, then the volume of the prism is (area of the base)*(height) = \(\sqrt{3}*2\).

Answer: C.
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Re: Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post 06 Nov 2014, 05:52
vinraj wrote:
Attachment:
Screen Shot 2014-11-06 at 12.59.51 am.png
Two equilateral triangles, each of area (√3), and three squares were combined to form the figure above. If this figure were to be cut out of paper and folded to form a prism of triangular base, what would be the volume of the prism?

A. 2
B. 3
C. 2√3
D. 4√3
E. 6


Experts, Please tell me , whether we can expect this kind of Question in GMAT. This ques is from Economist. And I think Economist seems to make it unnecessary tough by asking us to learn formulae for Prism Volumes...


3D Geometry Questions to practice.
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Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post 20 Dec 2016, 08:21
Hello bunuel, I calculated it as following:

Side of the triangle X=2 and height of the triangle is root3/2.
The area of the prism is length x width x height = 2 x 2 x root3/2 = 4root3/2=2root3.
Where am I wrong?

I probably misunderstood the "Prism" and thought it would be 3D.
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Re: Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post 20 Dec 2016, 09:15
arven wrote:
Hello bunuel, I calculated it as following:

Side of the triangle X=2 and height of the triangle is root3/2.
The area of the prism is length x width x height = 2 x 2 x root3/2 = 4root3/2=2root3.
Where am I wrong?

I probably misunderstood the "Prism" and thought it would be 3D.


Not sure what you did there. We need the volume of the prism not area. The volume of a prism is (area of the base)*(height) = \(\sqrt{3}*2\).
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Re: Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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New post 19 Jan 2018, 12:09
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Re: Two equilateral triangles, each of area (√3), and three squares were   [#permalink] 19 Jan 2018, 12:09
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