Last visit was: 25 Apr 2026, 05:53 It is currently 25 Apr 2026, 05:53
Home
Messages
Tests
Schools
Events
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
555-605 (Medium)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,826
Own Kudos:
811,172
 [10]
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,826
Kudos: 811,172
 [10]
A cube and a pyramid of square base share the same dimensions: length, 04 Sep 2016, 05:31
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

70% (01:59) correct 30% (02:15) wrong based on 131 sessions

History

Date
Time
Result
Not Attempted Yet

A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?

A. 9
B. 64/3
C. 27
D. 72
E. 216

Show Spoiler
Attachment:
T6255.png
T6255.png [ 5.8 KiB | Viewed 5403 times ]
ShowHide Answer
Official Answer
D
User avatar
tuanle
User avatar
Joined: 05 Oct 2013
Last visit: 07 Dec 2016
Posts: 14
Own Kudos:
28
Posts: 14
Kudos: 28
A cube and a pyramid of square base share the same dimensions: length, 04 Sep 2016, 06:22
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let a be the side of the cube.
Since the volume of the cube is equal to the surface area of the cube, a^3= 6 a^2, which implies a=6.
The volume of the pyramid is (1/3) a^3= 72.
The answer is D.
User avatar
Shruti0805
User avatar
Joined: 24 Dec 2016
Last visit: 02 Sep 2021
Posts: 91
Own Kudos:
49
Given Kudos: 145
Location: India
Concentration: Finance, General Management
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
WE:Information Technology (Computer Software)
Schools: Simon '21 (A$) Carlson '21 (A$) McDonough '21 (A)
Posts: 91
Kudos: 49
A cube and a pyramid of square base share the same dimensions: length, 27 Feb 2017, 19:36
Kudos
Add Kudos
Bookmarks
Bookmark this Post
reto
A cube and a pyramid of square base share the same dimensions length, width height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?

A. 9
B. 64/3
C. 27
D. 72
E. 216
Show more


Hi reto and all the Quant experts.

How often would we encounter geometry questions on Pyramids, Cones etc. on the GMAT ?
Asking just to ensure I dedicate optimum time towards it.

Thanks in advance. :)
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 25 Apr 2026
Posts: 109,826
Own Kudos:
811,172
Given Kudos: 105,878
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,826
Kudos: 811,172
A cube and a pyramid of square base share the same dimensions: length, 28 Feb 2017, 00:11
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Shruti0805
reto
A cube and a pyramid of square base share the same dimensions length, width height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?

A. 9
B. 64/3
C. 27
D. 72
E. 216


Hi reto and all the Quant experts.

How often would we encounter geometry questions on Pyramids, Cones etc. on the GMAT ?
Asking just to ensure I dedicate optimum time towards it.

Thanks in advance. :)
Show more

At max you'll see 1-2 questions on 3-D geometry.

Check other 3-D Geometry Questions in our Special Questions Directory.

Hope it helps.
User avatar
abhishekdadarwal2009
User avatar
Joined: 04 Sep 2015
Last visit: 07 Dec 2022
Posts: 524
Own Kudos:
487
Given Kudos: 123
Location: India
WE:Information Technology (Computer Software)
Products:
My Reviews
Posts: 524
Kudos: 487
A cube and a pyramid of square base share the same dimensions: length, 05 Dec 2018, 09:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
given:
area of the cube=volume of the cube

this implies:
a^3=6a^2
this gives a=6

so if the side of the cube is 6 that means the area of the pyramid=1/3*a*a*a

this gives us 1/3*6*6*6=72
option D
User avatar
emma4490
User avatar
Joined: 27 Dec 2018
Last visit: 15 Jun 2020
Posts: 26
Own Kudos:
15
Given Kudos: 17
GMAT 1: 550 Q47 V19
GMAT 1: 550 Q47 V19
Posts: 26
Kudos: 15
A cube and a pyramid of square base share the same dimensions: length, 23 Jan 2019, 06:37
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel

A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?

A. 9
B. 64/3
C. 27
D. 72
E. 216

Show Spoiler
Attachment:
T6255.png
Show more

What is the formula for surface area of pyramid?
User avatar
KanishkM
User avatar
Joined: 09 Mar 2018
Last visit: 18 Dec 2021
Posts: 755
Own Kudos:
512
 [1]
Given Kudos: 123
Location: India
Schools: DeGroote'21 Desautels '21 NUS '21
Schools: DeGroote'21 Desautels '21 NUS '21
Posts: 755
Kudos: 512
 [1]
A cube and a pyramid of square base share the same dimensions: length, 23 Jan 2019, 07:10
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
emma4490
Bunuel

A cube and a pyramid of square base share the same dimensions: length, width, and height. If the volume of the cube is equal to the surface area of the cube, then what is the volume of the pyramid?

A. 9
B. 64/3
C. 27
D. 72
E. 216

Show Spoiler
Attachment:
T6255.png

What is the formula for surface area of pyramid?
Show more

Are you asking with respect to this question??(its quite a weird one)

But Since here we are asked to calculate the Volume of a pyramid it is => 1/3 * a^2 * h

a is side and h is the height, which will be equal here to one of the side of the square, making the formula

V = 1/3 * a^3
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,981
Own Kudos:
1,117
Posts: 38,981
Kudos: 1,117
A cube and a pyramid of square base share the same dimensions: length, 01 Aug 2021, 06:48
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109826 posts
Krunaal
Tuck School Moderator
852 posts