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# What is the volume of the cube above?

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What is the volume of the cube above? [#permalink]

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26 Oct 2010, 09:07
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What is the volume of the cube above?

(1) The surface area of the cube is 600 square inches
(2) The length of diagonal AB is $$10\sqrt{3}$$ inches
[Reveal] Spoiler: OA

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Re: Volume of Cube [#permalink]

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26 Oct 2010, 09:19
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For volume of a cube ,we need to know the side of the cube as Volume of the cube is l^3 where l is side of the cube.

From (1)surface area is given means 6l^2 is given which is sufficient to get the value of l^3
From(2) length of diagonal l*sqrt(3) is given which is sufficient to get the value of l^3

Hence answer is D.

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Last edited by ankitranjan on 26 Oct 2010, 09:37, edited 2 times in total.
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Re: Volume of Cube [#permalink]

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26 Oct 2010, 09:28
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What is the volume of the cube above?

Let the side of the cube be $$x$$, then the volume will be $$volume=x^3$$

(1) The surface area of the cube is 600 square inches --> surface area of a cube equals to {area of a face} * {# of faces} --> $$surface \ area=x^2*6=600$$, --> $$x=10$$--> $$volume=x^3=1,000$$. Sufficient.

(2) The length of diagonal AB is $$10\sqrt{3}$$ inches --> diagonal of a cube equals to $$Diagonal=\sqrt{x^2+x^2+x^2}=x\sqrt{3}=10\sqrt{3}$$ (x^2+x^2=square of a diagonal of a face and square of a diagonal of a face plus square of a side equals to diagonal of a cube) --> $$x=10$$--> $$volume=x^3=1,000$$. Sufficient.

Answer: D.
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Re: What is the volume of the cube above? [#permalink]

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20 Jun 2013, 06:23
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Bumping for review and further discussion*. Get a kudos point for an alternative solution!

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Re: What is the volume of the cube above? [#permalink]

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21 Jun 2013, 00:17
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A cube is defined by only one value which is the length of its side. The internal angles always remain 90. So once you have the side, all other parameters of the cube inluding surface areas, volume, diagonals etc can be derived or alternatively once you have any of the other parameters the side can be derived. Straight D 5 sec answer.
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Re: What is the volume of the cube above? [#permalink]

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21 Jul 2014, 06:30
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Re: What is the volume of the cube above? [#permalink]

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06 Oct 2015, 01:10
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Re: What is the volume of the cube above? [#permalink]

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07 Oct 2015, 04:16
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Reequired: Volume of the cube

A cube has all the sides equal and each surface is a square. Hence if we find the side of the cube, we can find the volume

Statement 1:
Surface are of the cube is 600 square inches

Total surfaces of a cube = 6.
Total surface area = 600.
Hence area of one side = 100.

Therefore the side = 10
Volume of cube = (Side)^3 = 1000
SUFFICIENT

Statement 2:
AB = $$10 \sqrt{3}$$

Diagonal of a cube = $$\sqrt{3}$$*side
Hence we have side = 10
Volume = (Side)^3 = 1000
SUFFICIENT

Option D
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Re: What is the volume of the cube above?   [#permalink] 07 Oct 2015, 04:16
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# What is the volume of the cube above?

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