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

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Joined: 13 Jun 2014
Posts: 27
Concentration: General Management, Entrepreneurship
GMAT 1: 660 Q48 V33
Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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Updated on: 06 Nov 2014, 05:31
2
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Difficulty:

55% (hard)

Question Stats:

67% (02:22) correct 33% (02:14) wrong based on 154 sessions

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Screen Shot 2014-11-06 at 12.59.51 am.png [ 7.79 KiB | Viewed 3013 times ]
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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Joined: 02 Sep 2009
Posts: 58453
Re: Two equilateral triangles, each of area (√3), and three squares were  [#permalink]

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06 Nov 2014, 05:50
1
1
vinraj wrote:

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 [ 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) = $$\sqrt{3}*2$$.

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

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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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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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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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19 Jan 2018, 12:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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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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