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Math Expert V
Joined: 02 Sep 2009
Posts: 59561
The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 76% (01:19) correct 24% (01:31) wrong based on 50 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
Current Student P
Joined: 18 Aug 2016
Posts: 594
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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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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Joined: 26 Oct 2017
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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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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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Current Student P
Joined: 18 Aug 2016
Posts: 594
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29 GMAT 2: 740 Q51 V38 Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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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 V
Joined: 02 Sep 2009
Posts: 59561
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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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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Posts: 8619
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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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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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If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: The sum of the areas of the faces of a cube is 300 square inches. The   [#permalink] 12 Jan 2018, 07:15
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# The sum of the areas of the faces of a cube is 300 square inches. The  