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If a cube is inscribed inside a sphere...

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Director
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Joined: 29 Nov 2012
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If a cube is inscribed inside a sphere... [#permalink] New post 23 Jun 2013, 05:04
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

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Joined: 02 Sep 2009
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Kudos [?]: 18398 [0], given: 2350

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Re: If a cube is inscribed inside a sphere... [#permalink] New post 23 Jun 2013, 05:11
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
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Director
Director
Joined: 29 Nov 2012
Posts: 936
Followers: 11

Kudos [?]: 157 [0], given: 543

Re: If a cube is inscribed inside a sphere... [#permalink] New post 23 Jun 2013, 05:19
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
User avatar
Joined: 02 Sep 2009
Posts: 17318
Followers: 2876

Kudos [?]: 18398 [0], given: 2350

GMAT Tests User CAT Tests
Re: If a cube is inscribed inside a sphere... [#permalink] New post 23 Jun 2013, 05:27
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.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

Re: If a cube is inscribed inside a sphere...   [#permalink] 23 Jun 2013, 05:27
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