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# The volume of a cube is 64

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Intern
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The volume of a cube is 64. [#permalink]  06 Jan 2017, 07:59
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82% (00:26) correct 17% (00:31) wrong based on 39 sessions
The volume of a cube is 64. Which quantity is greater?

 Quantity A Quantity B The area of the base of the cube 32

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

How to find the "The area of the base of the cube" ?

Any idea?
Thanks
[Reveal] Spoiler: OA
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Posts: 9036
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Re: The volume of a cube is 64. [#permalink]  06 Jan 2017, 13:01
Expert's post
Please follow the rules for posting a question on the board

qq-how-to-post-a-gre-question-the-easy-way-2357.html

The volume of a cube is $$S^3 = 64$$, which means that one side of the cube is the cube root of 64. So $$S=4$$ See here for reference http://www.mathopenref.com/cubevolume.html

The base of a cube actually is a square so the area is $$4*4=16$$

The answer is B

Thank you so much
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The volume of a cube is 64 [#permalink]  18 Mar 2018, 10:29
Expert's post
The volume of a cube is 64

 Quantity A Quantity B The area of the base of the cube 32

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
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Manager
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Re: The volume of a cube is 64 [#permalink]  19 Mar 2018, 16:48
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The volume of a cube is a^3 when sides of the cube is a.
a^3 = 64 = 4^3. a is 4
The area of the base of the cube is a^2 = 4^2 = 16

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Last edited by Fatemeh on 21 Mar 2018, 12:14, edited 1 time in total.
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Re: The volume of a cube is 64 [#permalink]  20 Mar 2018, 00:23
1
KUDOS
Does it mean B>A?
Area of base = 16 (4*4)
B = 32 (4*8)

I picked B. Can anyone help?
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Re: The volume of a cube is 64 [#permalink]  20 Mar 2018, 02:50
Expert's post
You are right the answer is B.

the area of the base is 16 and quantity B is 32

B is the answer
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GRE Instructor
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Re: The volume of a cube is 64. [#permalink]  07 Aug 2019, 10:16
1
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Expert's post
HarveyKlaus wrote:
The volume of a cube is 64. Which quantity is greater?

 Quantity A Quantity B The area of the base of the cube 32

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

How to find the "The area of the base of the cube" ?

Any idea?
Thanks

In a cube, all sides have the SAME length.
So, let's say that each side has length x

Volume of a cube = (side length)³
So, we can write: x³ = 64
Solve to get: x = 4

So, we have:

Since all 6 faces of a cube are identical, it doesn't matter which face we use to calculate the area.
We need only recognize that each face is a SQUARE

Area of a SQUARE= (side length)²
So, the area of the base = 4² = 16

We get:
Quantity A: 16
Quantity B: 32

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com
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Intern
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Re: The volume of a cube is 64 [#permalink]  17 Aug 2019, 02:25
The volume of a cube is 64. Which quantity is greater?

As formula of the volume of a cube is X^3.
Here X^3 = 64 =4^3
So X is 4.
The area of the base of the cube is X^2 => 4^2 => 16
So ans is B.
Intern
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Re: The volume of a cube is 64 [#permalink]  25 Aug 2019, 08:15
b
Re: The volume of a cube is 64   [#permalink] 25 Aug 2019, 08:15
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# The volume of a cube is 64

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