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What is the total surface area of rectangular solid R ?

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What is the total surface area of rectangular solid R ? [#permalink] New post 28 Apr 2010, 10:33
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What is the total surface area of rectangular solid R ?

(1) The surface area of one of the faces of R is 48

(2) The length of one of the edges is 3
[Reveal] Spoiler: OA

Last edited by Bunuel on 16 May 2014, 06:18, edited 2 times in total.
Edited the question and added the OA
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Re: What is the total surface area of rectange solid R? [#permalink] New post 28 Apr 2010, 11:29
Its E.

from statement 1:

surface area of one face = l*b = 48,
then we can have the following combination of l*b.

1*48
2*24
3*16
4*12
6*8... and may be few more.. we can have different values of surface area depending on the value of third side.

from statement 2:

Alone one side is not enough.

From from statement 1 and from statement 2:

we can still have two cases : where l or b or itself is 3, then we still don't have the third side.
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Re: What is the total surface area of rectange solid R? [#permalink] New post 28 Apr 2010, 11:56
What is the total surface area of rectange solid R?

1) The surface area of one of the faces of R is 48
2) The length of one of the edges of R is 3

My Ans - Both together also not sufficient.

Let us take opt 1)
there are two shapes in a rectangular solid
a. Squre shape - 2 nos
b. rectangular shape - 4 nos
we cant say for which shape the above given area belongs to..
So it is not sufficiant

Let us take opt 2)
Since length and breadth are different for rectangular solid. we cant deduce the area.
So it is not sufficient independently

let us take both together.
The above given area may be for Square or rectangular.
If it is square , it's side may be 4sqrt(3) and length may be 3. we can deduce area - 179.136
if it is rectangular , l=3,b=16.So area = 210.
So both together also not sufficient
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Re: What is the total surface area of rectange solid R? [#permalink] New post 31 May 2010, 01:27
I have one question to above explanation,
since it is Solid triangular, we need to know the heigh of this solid right in order to find total surface area..?!

Just like when you have to compute the surface area of cylinder

thanks in advance
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Re: What is the total surface area of rectange solid R? [#permalink] New post 31 May 2010, 02:20
Solid rectangular just implies that its a 3D object and not a plain rect drawn on paper but its area can be calulated just like any other plain rectangle.

For rectangular surface are, we simply need the 2 sides - length and breadth.
Surface area = area of 2 square faces + 4 rectangular faces.
There is nothing like height of a rectangle, you can put it on either face and the standing side becomes the height

In cyliner we have 2 circular faces + a rolled over part. To get the area od this rolled part we need the height.
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Re: What is the total surface area of rectange solid R? 1) The [#permalink] New post 16 May 2014, 06:12
OA/OE please? I'm pretty confident the answer is straight E

Please confirm
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Re: What is the total surface area of rectange solid R? 1) The [#permalink] New post 16 May 2014, 08:30
Expert's post
jlgdr wrote:
OA/OE please? I'm pretty confident the answer is straight E

Please confirm
Cheers!
J :)


What is the total surface area of rectangular solid R ?

(1) The surface area of one of the faces of R is 48. Clearly insufficient.

(2) The length of one of the edges is 3. Clearly insufficient.

(1)+(2) The dimensions can be 3 to 16 to {any} or x to y to 3, (where x*y=48). Not sufficient. Also, notice that the edge of length 3 could be one of the sides of the face whose area is 48 as well as one of the sides of one of the other faces.

Answer: E.
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Re: What is the total surface area of rectange solid R? 1) The   [#permalink] 16 May 2014, 08:30
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