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Helpful Geometry formula sheet: http://gmatclub.com/forum/best-geometry-93676.html I hope these will help to understand the basic concepts & strategies. Please Click ON KUDOS Button.

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.

Consider giving KUDOS if it is helpful to u.

Last edited by ankitranjan on 26 Oct 2010, 08:37, edited 2 times in total.

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.

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

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20 Jun 2013, 23:17

1

This post received KUDOS

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, 05:30

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06 Oct 2015, 00:10

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

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26 May 2016, 14:22

we have find volume of given cube

Statement 1 gives information about the total surface area of the cube = 600 sq.inches we know that cube has 6 equal faces area of single face = 100 which in turn gives us the side as 10 inches Volume of cube = 1000 cu.inches So sufficient

Statement 2 gives the length of longest diagonal of the cube as 10 *\(\sqrt{3}\) this in turn gives us the side as 10 inches Volume of cube = 1000 cu.inches So sufficient

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

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16 Jul 2016, 23:33

monirjewel wrote:

Attachment:

1026203817.jpg

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

ANSWER IS D since each statements are sufficient alone on their own .

(1) The surface area of the cube is 600 square inches \(6a^2=600\)

a=10 \(V=a^3==>10^3\) =1000 Units SUFFICIENT

(2) The length of diagonal AB is \(10\sqrt{3}\) inches \(d=a\sqrt{3}\) \(a\sqrt{3}=10\sqrt{3}\)

a=10 \(V=10^3\)

SUFFICIENT

BOTH SUFFICIENT ALONE
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Re: What is the volume of the cube above?
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16 Jul 2016, 23:33

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