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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: 43312

Kudos [?]: 139308 [0], given: 12783

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
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Question Stats:

95% (00:19) correct 5% (00:00) wrong based on 19 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
[Reveal] Spoiler: OA

_________________

Kudos [?]: 139308 [0], given: 12783

Intern
Joined: 15 Oct 2017
Posts: 30

Kudos [?]: 3 [0], given: 79

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

$$6a^2 = 24$$
$$a=2$$
$$a^3 = 8$$

Kudos [?]: 3 [0], given: 79

Manager
Joined: 01 Feb 2017
Posts: 74

Kudos [?]: 23 [0], given: 21

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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Kudos [?]: 23 [0], given: 21

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