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# If a cube has a volume of 64, what is its total surface area?

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Math Expert
Joined: 02 Sep 2009
Posts: 43348

Kudos [?]: 139709 [0], given: 12794

If a cube has a volume of 64, what is its total surface area? [#permalink]

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06 Dec 2017, 22:04
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If a cube has a volume of 64, what is its total surface area?

(A) 16
(B) 24
(C) 48
(D) 64
(E) 96
[Reveal] Spoiler: OA

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Kudos [?]: 139709 [0], given: 12794

Manager
Joined: 10 Aug 2015
Posts: 103

Kudos [?]: 89 [0], given: 20

Re: If a cube has a volume of 64, what is its total surface area? [#permalink]

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07 Dec 2017, 04:26
Volume, a*a*a = 64 => a=4
Total Surface Area, Area of one side * Number of sides = a*a*6 = 96.
Option E.

Kudos [?]: 89 [0], given: 20

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Kudos [?]: 830 [0], given: 22

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Re: If a cube has a volume of 64, what is its total surface area? [#permalink]

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07 Dec 2017, 11:33
Bunuel wrote:
If a cube has a volume of 64, what is its total surface area?

(A) 16
(B) 24
(C) 48
(D) 64
(E) 96

Formula used: Volume of cube = $$a^3$$ | Total surface area of the cube = $$6*a^2$$

Given : a^3 = 64.
Taking cube root on both sides, a = 4

Therefore, the surface area of the cube is $$6*a^2 = 6*16 = 96$$(Option E)
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Kudos [?]: 830 [0], given: 22

Re: If a cube has a volume of 64, what is its total surface area?   [#permalink] 07 Dec 2017, 11:33
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# If a cube has a volume of 64, what is its total surface area?

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