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

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

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New post 11 Mar 2018, 21:33
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A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

93% (00:35) correct 7% (00:00) wrong based on 29 sessions

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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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New post 12 Mar 2018, 00:06
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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New post 12 Mar 2018, 06:41
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

Answer: Option 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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New post 12 Mar 2018, 09:38
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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New post 12 Mar 2018, 23:43
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   [#permalink] 12 Mar 2018, 23:43
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