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# The surface area of a cube is 150 square feet. How many cubic feet are

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Math Expert
Joined: 02 Sep 2009
Posts: 52230
The surface area of a cube is 150 square feet. How many cubic feet are  [#permalink]

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11 Mar 2018, 20:33
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Difficulty:

25% (medium)

Question Stats:

91% (00:47) correct 9% (00:00) wrong based on 31 sessions

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The surface area of a cube is 150 square feet. How many cubic feet are there in the volume of the cube?

(A) 30

(B) 50

(C) 100

(D) 125

(E) 150

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Re: The surface area of a cube is 150 square feet. How many cubic feet are  [#permalink]

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11 Mar 2018, 23:06
Bunuel wrote:
The surface area of a cube is 150 square feet. How many cubic feet are there in the volume of the cube?

(A) 30

(B) 50

(C) 100

(D) 125

(E) 150

surface area = 6a^2
6a^2 = 150
a^2=25
a=5

side=5

v=a^3 = 125
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Re: The surface area of a cube is 150 square feet. How many cubic feet are  [#permalink]

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12 Mar 2018, 05:41
Bunuel wrote:
The surface area of a cube is 150 square feet. How many cubic feet are there in the volume of the cube?

(A) 30

(B) 50

(C) 100

(D) 125

(E) 150

The properties of all SOlids needed for GMAT as attached

The Surface Area of the cube = 6*Side^2 = 150

i.e. SIde^2 = 25

i.e. Side = 5

Volume = Side^3 = 5^3 = 125

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Solid Geometry.jpg [ 134.47 KiB | Viewed 359 times ]

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Re: The surface area of a cube is 150 square feet. How many cubic feet are  [#permalink]

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12 Mar 2018, 08:38
Bunuel wrote:
The surface area of a cube is 150 square feet. How many cubic feet are there in the volume of the cube?

(A) 30

(B) 50

(C) 100

(D) 125

(E) 150

$$6a^2 = 150$$

So, $$a = 5$$

Thus, volume will be $$5^3 = 125$$, Answer will be (D)
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Re: The surface area of a cube is 150 square feet. How many cubic feet are  [#permalink]

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12 Mar 2018, 22:43
6$$a^2$$= 150

$$a^2$$= 25; a=5

Volume= $$a^3$$= $$(5)^3$$= 125

$$Answer: D.$$
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Re: The surface area of a cube is 150 square feet. How many cubic feet are &nbs [#permalink] 12 Mar 2018, 22:43
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