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Math Expert V
Joined: 02 Sep 2009
Posts: 58434
What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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Difficulty:   5% (low)

Question Stats: 93% (01:17) correct 7% (00:50) wrong based on 41 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

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NUS School Moderator V
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Concentration: Finance, Marketing
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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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2
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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1
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
Math Expert V
Joined: 02 Sep 2009
Posts: 58434
Re: What is the length of the diagonal of a cube whose surface area is 216  [#permalink]

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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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Manager  B
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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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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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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 Re: What is the length of the diagonal of a cube whose surface area is 216   [#permalink] 19 Jan 2019, 17:57
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