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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # The volume of a cube is 64  Question banks Downloads My Bookmarks Reviews Important topics
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Intern Joined: 22 Aug 2016
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Kudos [?]: 9 , given: 5

The volume of a cube is 64. [#permalink] 00:00

Question Stats: 80% (00:25) correct 19% (00:27) wrong based on 42 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
Founder  Joined: 18 Apr 2015
Posts: 9367
Followers: 194

Kudos [?]: 2273 , given: 8847

Re: The volume of a cube is 64. [#permalink]
Expert's post

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 $$4*4=16$$

Thank you so much
_________________

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Founder  Joined: 18 Apr 2015
Posts: 9367
Followers: 194

Kudos [?]: 2273 , given: 8847

The volume of a cube is 64 [#permalink]
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.
_________________

Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Manager Joined: 22 Feb 2018
Posts: 162
Followers: 2

Kudos [?]: 128  , given: 22

Re: The volume of a cube is 64 [#permalink]
1
KUDOS
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

_________________

Last edited by Fatemeh on 21 Mar 2018, 12:14, edited 1 time in total. Intern Joined: 19 Mar 2018
Posts: 25
Followers: 1

Kudos [?]: 9  , given: 11

Re: The volume of a cube is 64 [#permalink]
1
KUDOS
Does it mean B>A?
Area of base = 16 (4*4)
B = 32 (4*8)

I picked B. Can anyone help?
Founder  Joined: 18 Apr 2015
Posts: 9367
Followers: 194

Kudos [?]: 2273 , given: 8847

Re: The volume of a cube is 64 [#permalink]
Expert's post
You are right the answer is B.

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

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Re: The volume of a cube is 64. [#permalink]
1
KUDOS
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

Intern Joined: 15 Aug 2019
Posts: 31
Followers: 0

Kudos [?]: 22 , given: 3

Re: The volume of a cube is 64 [#permalink]
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 Joined: 24 Aug 2019
Posts: 30
Followers: 0

Kudos [?]: 5 , given: 1

Re: The volume of a cube is 64 [#permalink]
b Re: The volume of a cube is 64   [#permalink] 25 Aug 2019, 08:15
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