GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 16 Dec 2018, 11:55

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### Free GMAT Prep Hour

December 16, 2018

December 16, 2018

03:00 PM EST

04:00 PM EST

Strategies and techniques for approaching featured GMAT topics
• ### FREE Quant Workshop by e-GMAT!

December 16, 2018

December 16, 2018

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

# A rectangular solid has a square base and altitude of 7. If the volume

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51229
A rectangular solid has a square base and altitude of 7. If the volume  [#permalink]

### Show Tags

09 Jul 2018, 05:17
00:00

Difficulty:

15% (low)

Question Stats:

78% (01:15) correct 22% (01:34) wrong based on 27 sessions

### HideShow timer Statistics

A rectangular solid has a square base and altitude of 7. If the volume of the solid is 252, then the perimeter of the square base is

(A) 9
(B) 24
(C) 28
(D) 36
(E) 49

_________________
MBA Section Director
Affiliations: GMATClub
Joined: 22 May 2017
Posts: 1491
Concentration: Nonprofit
GPA: 4
WE: Engineering (Computer Software)
A rectangular solid has a square base and altitude of 7. If the volume  [#permalink]

### Show Tags

09 Jul 2018, 05:29
Rectangular solid has a square base. Let say the side of square is 'a'

Altitude of the solid is 7

Volume of the solid is $$a^2 * 7 = 252$$

=> $$a^2 = 36$$

=> $$a = 6$$ (since length cannot be negative, we can ignore a being -6)

Perimeter of square base = $$4 * a = 4 * 6 = 24$$

hence option B
_________________
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4277
Location: India
GPA: 3.5
Re: A rectangular solid has a square base and altitude of 7. If the volume  [#permalink]

### Show Tags

09 Jul 2018, 05:33
Bunuel wrote:
A rectangular solid has a square base and altitude of 7. If the volume of the solid is 252, then the perimeter of the square base is

(A) 9
(B) 24
(C) 28
(D) 36
(E) 49

$$7a^2 = 252$$

Or, $$a = \sqrt{36}$$

So, $$a = 6$$

Hence perimeter is 4*6 = 24, Answer must be (B)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

e-GMAT Representative
Joined: 04 Jan 2015
Posts: 2323
Re: A rectangular solid has a square base and altitude of 7. If the volume  [#permalink]

### Show Tags

09 Jul 2018, 05:41

Solution

Given:
• A rectangular solid has a square base and altitude of 7
• The volume of the solid is 252

To find:
• The perimeter of the square base

Approach and Working:
Let us assume the length of each side of the square base is x
The volume of the solid = area of the base * height = $$x^2 * 7 = 252$$
• Therefore, $$x^2 = 36$$
Or, x = 6

• Then, the perimeter of the square base = 6 * 4 = 24

Hence, the correct answer is option B.

_________________

Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2 | Remainders-1 | Remainders-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets

| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Re: A rectangular solid has a square base and altitude of 7. If the volume &nbs [#permalink] 09 Jul 2018, 05:41
Display posts from previous: Sort by