Last visit was: 29 May 2026, 16:42 It is currently 29 May 2026, 16:42
Home
Messages
MBA Fair
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
655-705 (Hard)|   Geometry|      
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 29 May 2026
Posts: 110,897
Own Kudos:
817,786
 [3]
Given Kudos: 106,519
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: 110,897
Kudos: 817,786
 [3]
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 01 Jul 2022, 13:15
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

55% (hard)

Question Stats:

58% (02:04) correct 42% (02:20) wrong based on 55 sessions

History

Date
Time
Result
Not Attempted Yet
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio of length to width to height of 4 : 3 : 2. In terms of n, which of the following equals the length of the cuboid, in feet?


A. \(\sqrt[3]{\frac{n}{8}}\)

B. \(2*\sqrt[3]{\frac{n}{3}}\)

C. \(\frac{1}{2}*\sqrt[3]{\frac{n}{3}}\)

D. \(\sqrt[3]{\frac{n}{3}}\)

E. \(8*\sqrt[3]{\frac{n}{3}}\)
ShowHide Answer
Official Answer
B
User avatar
MBAHOUSE
User avatar
MBA House Admissions Consultant
Joined: 26 May 2022
Last visit: 23 Apr 2024
Posts: 337
Own Kudos:
102
Expert
Expert reply
Posts: 337
Kudos: 102
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 01 Jul 2022, 15:05
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Powers and rites rules are important to be agile at the GMAT
Attachments

DD4B9D73-5343-4D35-8E53-5C4AAD0DA779.jpeg
DD4B9D73-5343-4D35-8E53-5C4AAD0DA779.jpeg [ 355.34 KiB | Viewed 1892 times ]

User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,038
 [1]
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,038
 [1]
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 01 Jul 2022, 21:11
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
Bunuel
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio of length to width to height of 4 : 3 : 2. In terms of n, which of the following equals the length of the cuboid, in feet?


A. \(\sqrt[3]{\frac{n}{8}}\)

B. \(2*\sqrt[3]{\frac{n}{3}}\)

C. \(\frac{1}{2}*\sqrt[3]{\frac{n}{3}}\)

D. \(\sqrt[3]{\frac{n}{3}}\)

E. \(8*\sqrt[3]{\frac{n}{3}}\)
Show more


n?!?!? Why would we work in terms of n when we could just plug in dimensions? Let's just make them 4x3x2. The volume is 24. n = 24. Length = 4.

Check the answer choices.

A. \(\sqrt[3]{3}\) Nope.

B. \(2*\sqrt[3]{8}\) Keep it.

C, D, and E are just different multiples of \(\sqrt[3]{8}\) Nope.

Answer choice B.
User avatar
MBAHOUSE
User avatar
MBA House Admissions Consultant
Joined: 26 May 2022
Last visit: 23 Apr 2024
Posts: 337
Own Kudos:
102
Expert
Expert reply
Posts: 337
Kudos: 102
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 02 Jul 2022, 14:49
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ThatDudeKnows
Bunuel
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio of length to width to height of 4 : 3 : 2. In terms of n, which of the following equals the length of the cuboid, in feet?


A. \(\sqrt[3]{\frac{n}{8}}\)

B. \(2*\sqrt[3]{\frac{n}{3}}\)

C. \(\frac{1}{2}*\sqrt[3]{\frac{n}{3}}\)

D. \(\sqrt[3]{\frac{n}{3}}\)

E. \(8*\sqrt[3]{\frac{n}{3}}\)


n?!?!? Why would we work in terms of n when we could just plug in dimensions? Let's just make them 4x3x2. The volume is 24. n = 24. Length = 4.

Check the answer choices.

A. \(\sqrt[3]{3}\) Nope.

B. \(2*\sqrt[3]{8}\) Keep it.

C, D, and E are just different multiples of \(\sqrt[3]{8}\) Nope.

Answer choice B.
Show more

Great! But I have a question: how the candidate goes from length 4 to one of the options a,b,c,d or e?
User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,038
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,038
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 02 Jul 2022, 15:26
Kudos
Add Kudos
Bookmarks
Bookmark this Post
MBAPREPbyMBAHOUSE
ThatDudeKnows
Bunuel
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio of length to width to height of 4 : 3 : 2. In terms of n, which of the following equals the length of the cuboid, in feet?


A. \(\sqrt[3]{\frac{n}{8}}\)

B. \(2*\sqrt[3]{\frac{n}{3}}\)

C. \(\frac{1}{2}*\sqrt[3]{\frac{n}{3}}\)

D. \(\sqrt[3]{\frac{n}{3}}\)

E. \(8*\sqrt[3]{\frac{n}{3}}\)


n?!?!? Why would we work in terms of n when we could just plug in dimensions? Let's just make them 4x3x2. The volume is 24. n = 24. Length = 4.

Check the answer choices.

A. \(\sqrt[3]{3}\) Nope.

B. \(2*\sqrt[3]{8}\) Keep it.

C, D, and E are just different multiples of \(\sqrt[3]{8}\) Nope.

Answer choice B.

Great! But I have a question: how the candidate goes from length 4 to one of the options a,b,c,d or e?
Show more

We have n = 24 and length = 4. So we can plug n = 24 into each of the answer choices (well, we never really have to do C, D, or E because we can see that they won't work) to see which results in 4.
User avatar
omema
User avatar
Joined: 23 Aug 2022
Last visit: 28 Aug 2024
Posts: 11
Own Kudos:
3
Given Kudos: 13
Posts: 11
Kudos: 3
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 01 Nov 2022, 04:03
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Can you please explain more on how \(2*\sqrt[3]{8}\) = 4.
its 8*3=24*2=48?
User avatar
ThatDudeKnows
User avatar
Joined: 11 May 2022
Last visit: 27 Jun 2024
Posts: 1,070
Own Kudos:
1,038
Given Kudos: 79
Expert
Expert reply
Posts: 1,070
Kudos: 1,038
A cuboid (rectangular solid) has a volume of n cubic feet and a ratio 01 Nov 2022, 05:43
Kudos
Add Kudos
Bookmarks
Bookmark this Post
omema
Can you please explain more on how \(2*\sqrt[3]{8}\) = 4.
its 8*3=24*2=48?
Show more

Are you certain that \(\sqrt[3]{8}\) means 8*3?

Brush up on roots and exponents!

Posted from my mobile device
Moderator:
Bunuel
Math Expert
110897 posts