Last visit was: 19 Jul 2024, 05:51 It is currently 19 Jul 2024, 05:51
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

A rectangular box has a length of 6 centimeters, a width of 8 centimet

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 94412
Own Kudos [?]: 642256 [4]
Given Kudos: 86318
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 6020
Own Kudos [?]: 13808 [2]
Given Kudos: 125
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6049
Own Kudos [?]: 4766 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Target Test Prep Representative
Joined: 14 Oct 2015
Status:Founder & CEO
Affiliations: Target Test Prep
Posts: 19172
Own Kudos [?]: 22673 [0]
Given Kudos: 286
Location: United States (CA)
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

We can use the formula to determine the length d of the diagonal:

l^2 + w^2 + h^2 = d^2

6^2 + 8^2 + 10^2 = d^2

36 + 64 + 100 = d^2

200 = d^2

√100 x √2 = d

10√2 = d

Director
Joined: 14 Jul 2010
Status:No dream is too large, no dreamer is too small
Posts: 959
Own Kudos [?]: 5016 [0]
Given Kudos: 690
Concentration: Accounting
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Top Contributor
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

Diagonal of a rectangular Box $$= √(l^2+b^2+h^2) = √(6^2+8^2+10^2) = √200 = 10√2$$

The Answer is C
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6049
Own Kudos [?]: 4766 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Bunuel wrote:
A rectangular box has a length of 6 centimeters, a width of 8 centimeters, and a height of 10 centimeters. What is the length of the diagonal of the box, in centimeters?

(A) $$10$$

(B) $$12$$

(C) $$10\sqrt{2}$$

(D) $$10\sqrt{3}$$

(E) $$24$$

$$\sqrt{6^2 + 8^2 + 10^2}$$

$$=\sqrt{36 + 64 + 100}$$

$$=\sqrt{200}$$

$$=10\sqrt{2}$$, Answer must be (C)
Intern
Joined: 09 Jul 2020
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 14
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Hey,

Wanted to clarify- the question does not specify whether we have to find the base diagonal or the body (longest) diagonal.
Looking at the AO it is assumed to be the body diagonal.
Non-Human User
Joined: 09 Sep 2013
Posts: 34019
Own Kudos [?]: 852 [0]
Given Kudos: 0
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
Re: A rectangular box has a length of 6 centimeters, a width of 8 centimet [#permalink]
Moderator:
Math Expert
94411 posts