Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 20 Jul 2019, 17:19

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

The mass of 1 cubic meter of a substance is 800 kilograms

Author Message
TAGS:

Hide Tags

Senior Manager
Status: Current Student
Joined: 14 Oct 2009
Posts: 361
Schools: Chicago Booth 2013, Ross, Duke , Kellogg , Stanford, Haas
The mass of 1 cubic meter of a substance is 800 kg under  [#permalink]

Show Tags

Updated on: 01 Feb 2012, 15:47
12
00:00

Difficulty:

55% (hard)

Question Stats:

64% (02:05) correct 36% (01:56) wrong based on 99 sessions

HideShow timer Statistics

The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

Is there an easy way to do these types of problems? I spent a lot of time trying to figure out the correct conversions and then still got the wrong answer (correct digits, just was off by a power of 10)

_________________

Originally posted by Michmax3 on 27 Sep 2010, 22:31.
Last edited by Bunuel on 01 Feb 2012, 15:47, edited 2 times in total.
Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: Mass of a substance  [#permalink]

Show Tags

28 Sep 2010, 01:18
1
1
Michmax3 wrote:
The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg = 1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

800 kg - 1 cubic meter;
800,000 g - 1 cubic meter;
800,000 g - 1,000,000 cubic centimeters;
1 g - 1,000,000/800,000 = 10/8 = 1.25 cubic centimeters.

Provide answer choices for PS questions
_________________
Manager
Joined: 03 Aug 2010
Posts: 89
GMAT Date: 08-08-2011
Re: Official GMAT question - help!  [#permalink]

Show Tags

08 Jan 2011, 11:27
Thanks, Bunuel. Sorry about posting in the wrong forum.
I am confused, because isn't 1,000,000 cubic centimeters / 800,000 g the density of the substance. That is 1.25 cubic cubic centimeters per gram of the substance. The question asked for volume, not density.
Math Expert
Joined: 02 Sep 2009
Posts: 56304
Re: Official GMAT question - help!  [#permalink]

Show Tags

08 Jan 2011, 11:41
Yalephd wrote:
Thanks, Bunuel. Sorry about posting in the wrong forum.
I am confused, because isn't 1,000,000 cubic centimeters / 800,000 g the density of the substance. That is 1.25 cubic cubic centimeters per gram of the substance. The question asked for volume, not density.

Density is mass divided by volume. So density of the given substance will be mass/volume=800kg/1m^3=800 kg/m^3 or 1g/1.25cm^3=0.8 g/cm^3.

Next, ask yourself if 800,000 g is equivalent to 1,000,000 cubic centimeters then 1 g is equivalent to how many cubic centimeters? --> 1 g - 1,000,000/800,000 = 10/8 = 1.25 cubic centimeters.

Hope it's clear.
_________________
CEO
Joined: 12 Sep 2015
Posts: 3853
Re: The mass of 1 cubic meter of a substance is 800 kg under  [#permalink]

Show Tags

14 Oct 2018, 06:52
Top Contributor
Michmax3 wrote:
The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

GIVEN: 1 cubic METER of the substance weighs 800 KILOGRAMS
1 kg =1,000 grams, so we can write: 1 cubic METER of the substance weighs 800,000 GRAMS
1 cubic meter = 1,000,000, so we can write: 1,000,000 cubic CENTIMETERS of the substance weighs 800,000 GRAMS

What is the volume in cubic centimeters of 1 gram of this substance under these conditions?
Take last line and divide both values by 800,000 to get: 1,000,000/800,000 cubic CENTIMETERS of the substance weighs 800,000/800,000 GRAMS
Simplify to get: 1.25 cubic CENTIMETERS of the substance weighs 1 GRAM

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
GMATH Teacher
Status: GMATH founder
Joined: 12 Oct 2010
Posts: 937
Re: The mass of 1 cubic meter of a substance is 800 kg under  [#permalink]

Show Tags

14 Oct 2018, 08:03
Michmax3 wrote:
The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

$$1\,{{\rm{m}}^3}\,\, \leftrightarrow \,\,800\,{\rm{kg}}\,\,\,\,\,\,\,\left( {1\,{\rm{kg}}\,\, = \,\,{{10}^3}\,{\rm{g}}\,\,\,\,\,{\rm{;}}\,\,\,\,1\,{{\rm{m}}^3}\,\, = \,\,{{10}^6}\,{\rm{c}}{{\rm{m}}^3}} \right)$$
$${\rm{1}}\,\,{\rm{g}}\,\,\, \leftrightarrow \,\,{\rm{?}}\,\,{\rm{c}}{{\rm{m}}^3}$$

PERFECT opportunity for the UNITS CONTROL, one of the most powerful tools in our method!

$$?\,\,\, = \,\,\,1\,\,{\rm{g}}\,\,\,\left( {{{1\,{\rm{kg}}\,} \over {{{10}^3}\,{\rm{g}}}}\matrix{ \nearrow \cr \nearrow \cr } } \right)\,\,\,\,\left( {{{1\,{{\rm{m}}^3}\,} \over {800\,{\rm{kg}}}}\matrix{ \nearrow \cr \nearrow \cr } } \right)\,\,\,\,\left( {{{{{10}^6}\,{\rm{c}}{{\rm{m}}^3}\,} \over {1\,{{\rm{m}}^3}}}\matrix{ \nearrow \cr \nearrow \cr } } \right)\,\,\,\,\,\, = \,\,\,\,{{{{10}^6}} \over {{{10}^3} \cdot 800}} = {{10} \over 8} = 1{1 \over 4}\,\,\,\,\,\,\,\,\left[ {{\rm{c}}{{\rm{m}}^3}} \right]$$

Obs.: arrows indicate licit converters.

This solution follows the notations and rationale taught in the GMATH method.

Regards,
Fabio.
_________________
Fabio Skilnik :: GMATH method creator (Math for the GMAT)
Our high-level "quant" preparation starts here: https://gmath.net
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6967
Location: United States (CA)
Re: The mass of 1 cubic meter of a substance is 800 kg under  [#permalink]

Show Tags

17 Oct 2018, 19:12
Michmax3 wrote:
The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

Since 800 kg = 800 x 1000 = 800,000 grams and 1 m^3 = 1,000,000 cm^3, we can create the ratio, where x is the number of cubic centimeters of 1 gram of the substance:

800,000/1,000,000 = 1/x

8/10 = 1/x

8x = 10

x = 1.25

_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 9446
Location: Pune, India
Re: The mass of 1 cubic meter of a substance is 800 kg under  [#permalink]

Show Tags

25 Oct 2018, 00:59
Michmax3 wrote:
The mass of 1 cubic meter of a substance is 800 kg under certain conditions. What is the volume in cubic centimeters of 1 gram of this substance under these conditions? (1 kg =1,000 grams and 1 cubic meter = 1,000,000 cubic centimeters)

A. 0.8
B. 1.25
C. 8.0
D. 12.50
E. 80

Is there an easy way to do these types of problems? I spent a lot of time trying to figure out the correct conversions and then still got the wrong answer (correct digits, just was off by a power of 10)

Just replace the given units with the required units as per the relation.

Weight 800 kg => Volume 1 m^3

Weight 800 * 1000 grams => Volume 1 *100 cm *100 cm * 100 cm

Weight 1 gram => Volume 1000000 cm^3 /800 * 1000

Weight 1 gram => Volume 5/4 = 1.25 cm^3

For more on units conversion, check: https://www.veritasprep.com/blog/2011/0 ... nd-ounces/
_________________
Karishma
Veritas Prep GMAT Instructor

Non-Human User
Joined: 09 Sep 2013
Posts: 11718
Re: The mass of 1 cubic meter of a substance is 800 kilograms  [#permalink]

Show Tags

29 Apr 2019, 05:40
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: The mass of 1 cubic meter of a substance is 800 kilograms   [#permalink] 29 Apr 2019, 05:40
Display posts from previous: Sort by