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# What is the volume of a cube? 1. Surface area is 600. 2.

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Current Student
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What is the volume of a cube? 1. Surface area is 600. 2. [#permalink]  11 Dec 2005, 03:17
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What is the volume of a cube?

1. Surface area is 600.
2. Diagnol of the cube is 10*sqrt3.

Statement 2 confuses me. Doesn`t a cube have two diagnols with different lengths? The inside corner to corner diagnol and the outside surface diagnol
Director
Joined: 24 Oct 2005
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i thought cube has only one diagonal. by that i mean.. all diagonals are equal in length
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Current Student
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What about the inside edge to inside edge diagnol (three dimentional). Basically the longest line between two points of the cube. Is that not referred to as a diagnol?
Director
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i see what are u sayin,, now i m confused too.. m sure it has to be something trivial
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I think it is referring to the interior diagonal, since it says "diagonal of the cube", instead of "diagonal of a side of the cube".
1) and 2) both refer to cubes w/ a side of 10.

D stands.
Current Student
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yb wrote:
I think it is referring to the interior diagonal, since it says "diagonal of the cube", instead of "diagonal of a side of the cube".
1) and 2) both refer to cubes w/ a side of 10.

D stands.

This is the way the OE is written. OA is D.
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yb wrote:
I think it is referring to the interior diagonal, since it says "diagonal of the cube", instead of "diagonal of a side of the cube".
1) and 2) both refer to cubes w/ a side of 10.

D stands.

Diagonal simply means the highest distance between 2 points in the cube. there can be only one highest distance between 2 points. for a cube digonal is simply sqrt(square of one side + square of one side's diagonal)

if x is the length side then diagonal = sqrt(x^2+2x^2)
= sqrt(3) * x

diagonal of one side = sqrt(x^2 + x^2)
= sqrt(2) * x

so if we know that the diagonal of a cube is 10*sqrt(3)

we know that x = 10
so voluve = 1000

so statement 2 is sufficient.

surface area = 6x^2 = 600
so, x^2 = 100

so volume = 1000

there fore D is the answer.
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