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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: 44623
If a cube has a volume of 64, what is its total surface area? [#permalink]

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06 Dec 2017, 23:04
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:33) correct 23% (00:10) wrong based on 35 sessions

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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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Joined: 10 Aug 2015
Posts: 103
Re: If a cube has a volume of 64, what is its total surface area? [#permalink]

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07 Dec 2017, 05:26
Volume, a*a*a = 64 => a=4
Total Surface Area, Area of one side * Number of sides = a*a*6 = 96.
Option E.
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Joined: 26 Feb 2016
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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, 12:33
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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Re: If a cube has a volume of 64, what is its total surface area?   [#permalink] 07 Dec 2017, 12:33
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