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# What is the surface area of a cube with a volume of 512 unit^3?

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Math Expert
Joined: 02 Sep 2009
Posts: 58421
What is the surface area of a cube with a volume of 512 unit^3?  [#permalink]

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07 Mar 2019, 02:43
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Difficulty:

25% (medium)

Question Stats:

85% (01:34) correct 15% (01:58) wrong based on 26 sessions

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What is the surface area of a cube with a volume of 512 unit^3?

A. 384
B. 320
C. 256
D. 152
E. 48

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What is the surface area of a cube with a volume of 512 unit^3?  [#permalink]

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07 Mar 2019, 02:55
IMO A

Side = 8

Surfay area = 6asquare

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Intern
Joined: 02 Sep 2018
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Location: India
Re: What is the surface area of a cube with a volume of 512 unit^3?  [#permalink]

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07 Mar 2019, 09:55
1
ANswer is 256 since curved surface area has to be calculated
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Joined: 25 Feb 2019
Posts: 336
Re: What is the surface area of a cube with a volume of 512 unit^3?  [#permalink]

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07 Mar 2019, 10:38
volume = 512 = 8^3

side = 8
so surface area = 6*8*8
= 384

I MO A

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Re: What is the surface area of a cube with a volume of 512 unit^3?  [#permalink]

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10 Mar 2019, 19:44
Bunuel wrote:
What is the surface area of a cube with a volume of 512 unit^3?

A. 384
B. 320
C. 256
D. 152
E. 48

We let n = the side length of the cube, and thus:

Volume = n^3 = 512

n = 8

The area of one face is 8^2 = 64. Since there are 6 faces, the total surface area is 6 x 8^2 = 6 x 64 = 384.

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Re: What is the surface area of a cube with a volume of 512 unit^3?   [#permalink] 10 Mar 2019, 19:44
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