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# If the total surface area of a cube is 24, what is the volume of the

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Math Expert
Joined: 02 Sep 2009
Posts: 50544
If the total surface area of a cube is 24, what is the volume of the  [#permalink]

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04 Dec 2017, 21:52
00:00

Difficulty:

25% (medium)

Question Stats:

89% (00:25) correct 11% (00:33) wrong based on 26 sessions

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If the total surface area of a cube is 24, what is the volume of the cube?

(A) 8
(B) 24
(C) 64
(D) 48√6
(E) 216

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Intern
Joined: 15 Oct 2017
Posts: 30
Location: Ireland
Concentration: Healthcare, Finance
Re: If the total surface area of a cube is 24, what is the volume of the  [#permalink]

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04 Dec 2017, 23:35
Bunuel wrote:
If the total surface area of a cube is 24, what is the volume of the cube?

(A) 8
(B) 24
(C) 64
(D) 48√6
(E) 216

$$6a^2 = 24$$
$$a=2$$
$$a^3 = 8$$
Manager
Joined: 01 Feb 2017
Posts: 163
Re: If the total surface area of a cube is 24, what is the volume of the  [#permalink]

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06 Dec 2017, 00:43
Surface area of cube= 6*Area of each square= 6*(side)^2 = 24

Therefore, each side= 2

And hence, Vol of cube= (side)^3= 2^3= 8

Ans A

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Re: If the total surface area of a cube is 24, what is the volume of the &nbs [#permalink] 06 Dec 2017, 00:43
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