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# The sum of the areas of the faces of a cube is 300 square inches. The

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 02:38
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Difficulty:

15% (low)

Question Stats:

79% (01:18) correct 21% (01:24) wrong based on 45 sessions

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The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic inches, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000

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Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 03:31
1
Bunuel wrote:
The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic centimeters, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000

$$6a^2 = 300$$
$$a = 5\sqrt{2}$$
$$a^3 = 250 \sqrt{2}$$
B
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Luckisnoexcuse

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Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 03:50
1
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

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Joined: 18 Aug 2016
Posts: 623
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
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Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 04:58
1
lesner19 wrote:
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Hi Bunuel,

As rightly pointed out by lesner19 the volume should be in cubic inch..Please correct me if i am wrong
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Luckisnoexcuse

Math Expert
Joined: 02 Sep 2009
Posts: 53020
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 05:05
Luckisnoexcuse wrote:
lesner19 wrote:
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Hi Bunuel,

As rightly pointed out by lesner19 the volume should be in cubic inch..Please correct me if i am wrong

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Edited. Thank you.
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Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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12 Jan 2018, 06:15
Bunuel wrote:
The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic inches, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000

Since there are 6 faces of a cube, if we let the side of the cube = n, we have:

6n^2 = 300

n^2 = 50

n = √50

Since the volume of the cube is n^3, we have:

volume = √50 x √50 x √50 = 50√50 = 50 x √25 x √2 = 50 x 5 x √2 = 250√2

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Re: The sum of the areas of the faces of a cube is 300 square inches. The   [#permalink] 12 Jan 2018, 06:15
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