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# Cube Volume Question/Triange Area

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Cube Volume Question/Triange Area [#permalink]  03 Jul 2009, 10:49
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Question Stats:

45% (01:50) correct 54% (02:33) wrong based on 1 sessions
If the volume of a cube is x cubic feet and the total surface area of the cube is x square feet,then what is the total length, in feet, of all the cube’s edges?

Can someone please explain the solution? I am not able to make sense of the question.

a) 24
b) 60
c) 72
d) 120
e) 144

same goes for the below one too.

If the area of an equilateral triangle is x square meters and the perimeter is x meters, then what is the length of one side of the triangle in meters?

a) 6
b) 8
c) 4 (root 2)
d) 2 (root 3)
4) 4 (root 3)
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Re: Cube Volume Question/Triange Area [#permalink]  03 Jul 2009, 11:36
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1) V=a^3; S=6*a^2; V=S=a^3=6a^2 ---> a=6.
There are 12 edges in a cube. So, L=12*6=72
C

2) S=sqrt(3)/4*a^2; P=3*a; S=P=sqrt(3)/4*a^2=3a ---> a=4*sqrt(3)
E
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Re: Cube Volume Question/Triange Area [#permalink]  03 Jul 2009, 12:34
walker wrote:

1) V=a^3; S=6*a^2; V=S=a^3=6a^2 ---> a=6.
There are 12 edges in a cube. So, L=12*6=72
C

2) S=sqrt(3)/4*a^2; P=3*a; S=P=sqrt(3)/4*a^2=3a ---> a=4*sqrt(3)
E

Thanks a lot for the reply.
Re: Cube Volume Question/Triange Area   [#permalink] 03 Jul 2009, 12:34
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