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What is the length of the diagonal of a cube whose surface area is 216

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What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 17 Jan 2019, 02:36
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A
B
C
D
E

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93% (01:18) correct 7% (00:50) wrong based on 38 sessions

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What is the length of the diagonal of a cube whose surface area is 216?

A 6

B 9

C 12

D 6√3

E 9√3
Spoiler: OA

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Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 17 Jan 2019, 02:40
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1
Surface area of a cube = 6*side^2 = 216

Side = 6.

Diagonal of a cube = side*√3 = 6√3.

D is the answer

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Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 17 Jan 2019, 05:45
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Bunuel wrote:
What is the length of the diagonal of a cube whose surface area is 216?

A 6

B 9

C 12

D 6√3

E 9√3


6s^2 = 216
s= 6
diagonal of cube : s sqrt3 = 6 sqrt 3
IMO D

Bunuel
answer should be D not A.. please check
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Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 18 Jan 2019, 05:06
Archit3110 wrote:
Bunuel wrote:
What is the length of the diagonal of a cube whose surface area is 216?

A 6

B 9

C 12

D 6√3

E 9√3


6s^2 = 216
s= 6
diagonal of cube : s sqrt3 = 6 sqrt 3
IMO D

Bunuel
answer should be D not A.. please check

_______________
Edited. Thank you.
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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.


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Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 18 Jan 2019, 12:47
Area=6a^2 =216
-> a= 6
space diagonal of cube= √3a
-> √3*6
=6√3 (D)
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Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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New post 19 Jan 2019, 16:57
I did not remember that the diagonal of a cube is side√3. Instead, I used the formula for the diagonal of a 3d rectangle
√[(length)^2+(width)^2+(height)^2]
√(6^2+6^2+6^2)
√(36+36+36)
√[36(1+1+1)
√[36(3)]
√36·√3
6√3
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Re: What is the length of the diagonal of a cube whose surface area is 216   [#permalink] 19 Jan 2019, 16:57
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