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

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Bunuel
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What is the length of the diagonal of a cube whose surface area is 216 [#permalink] New post   17 Jan 2019, 03:36
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D
E

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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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D
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Re: What is the length of the diagonal of a cube whose surface area is 216 [#permalink] New post   17 Jan 2019, 03:40
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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] New post   17 Jan 2019, 06:45
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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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Bunuel
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Re: What is the length of the diagonal of a cube whose surface area is 216 [#permalink] New post   18 Jan 2019, 06:06
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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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Re: What is the length of the diagonal of a cube whose surface area is 216 [#permalink] New post   18 Jan 2019, 13:47
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] New post   19 Jan 2019, 17:57
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, 17:57
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