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

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Joined: 02 Sep 2009
Posts: 47961
The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

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04 Dec 2017, 03:38
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25% (medium)

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67% (01:02) correct 33% (00:42) wrong based on 42 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, 04:31
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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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, 04:50
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: 631
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, 05:58
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: 47961
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, 06:05
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, 07:15
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

Answer: B
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Re: The sum of the areas of the faces of a cube is 300 square inches. The &nbs [#permalink] 12 Jan 2018, 07:15
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