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# If a cube is inscribed inside a sphere...

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Director
Joined: 29 Nov 2012
Posts: 900
Followers: 12

Kudos [?]: 775 [0], given: 543

If a cube is inscribed inside a sphere... [#permalink]

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23 Jun 2013, 06:04
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If a cube is inscribed inside a sphere then the diagonal ( longest side) of the cube is equal to the diameter of the sphere?

the formula for diagonal of a cube is D = $$\sqrt{3}$$a

Is this correct? Can I apply this strategy for such questions?
_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
Joined: 02 Sep 2009
Posts: 32586
Followers: 5645

Kudos [?]: 68502 [0], given: 9810

Re: If a cube is inscribed inside a sphere... [#permalink]

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23 Jun 2013, 06:11
Expert's post
fozzzy wrote:
If a cube is inscribed inside a sphere then the diagonal (longest side) of the cube is equal to the diameter of the sphere?

the formula for diagonal of a cube is D = $$\sqrt{3}$$a

Is this correct? Can I apply this strategy for such questions?

Don't understand what you mean by the red parts: longest side in a cube? Also what do you mean by "such questions"?

Other than that all is correct.
_________________
Director
Joined: 29 Nov 2012
Posts: 900
Followers: 12

Kudos [?]: 775 [0], given: 543

Re: If a cube is inscribed inside a sphere... [#permalink]

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23 Jun 2013, 06:19
I was referring to the diagonal of the cube as the longest side...

An example of this question would be cube is inscribed inside in a sphere. Volume of sphere is provided and we have to find the surface area of the cube?

Bunuel wrote:
fozzzy wrote:
If a cube is inscribed inside a sphere then the diagonal (longest side) of the cube is equal to the diameter of the sphere?

the formula for diagonal of a cube is D = $$\sqrt{3}$$a

Is this correct? Can I apply this strategy for such questions?

Don't understand what you mean by the red parts: longest side in a cube? Also what do you mean by "such questions"?

Other than that all is correct.

_________________

Click +1 Kudos if my post helped...

Amazing Free video explanation for all Quant questions from OG 13 and much more http://www.gmatquantum.com/og13th/

GMAT Prep software What if scenarios gmat-prep-software-analysis-and-what-if-scenarios-146146.html

Math Expert
Joined: 02 Sep 2009
Posts: 32586
Followers: 5645

Kudos [?]: 68502 [0], given: 9810

Re: If a cube is inscribed inside a sphere... [#permalink]

### Show Tags

23 Jun 2013, 06:27
Expert's post
fozzzy wrote:
I was referring to the diagonal of the cube as the longest side...

An example of this question would be cube is inscribed inside in a sphere. Volume of sphere is provided and we have to find the surface area of the cube?

Bunuel wrote:
fozzzy wrote:
If a cube is inscribed inside a sphere then the diagonal (longest side) of the cube is equal to the diameter of the sphere?

the formula for diagonal of a cube is D = $$\sqrt{3}$$a

Is this correct? Can I apply this strategy for such questions?

Don't understand what you mean by the red parts: longest side in a cube? Also what do you mean by "such questions"?

Other than that all is correct.

An edge (side) of a cube is not the same as diagonal.

Questions to practice:
a-sphere-is-inscribed-in-a-cube-with-an-edge-of-10-what-is-127461.html
a-rectangular-box-has-dimensions-of-8-feet-8-feet-and-z-128483.html
for-the-cube-shown-above-what-is-the-degree-measure-of-pqr-13841.html
a-rectangular-box-is-10-inches-wide-10-inches-long-and-144733.html
if-the-box-shown-is-a-cube-then-the-difference-in-length-127463.html
what-is-the-volume-of-the-cube-above-103680.html

Hope it helps.
_________________
Re: If a cube is inscribed inside a sphere...   [#permalink] 23 Jun 2013, 06:27
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