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A certain rectangular box A, has height of x units, length of y units

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A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post 24 Dec 2018, 05:18
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A
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Fresh GMAT Club Tests' Question:



A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?

A. 1/4 unit^3
B. 1 unit^3
C. 2 unit^3
D. 4 unit^3
E. 10 unit^3

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Re: A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post 24 Dec 2018, 05:19
Bunuel wrote:

Fresh GMAT Club Tests' Question:



A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?

A. 1/4 unit^3
B. 1 unit^3
C. 2 unit^3
D. 4 unit^3
E. 10 unit^3


Check other 3-D Geometry Questions in our Special Questions Directory.
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post 24 Dec 2018, 05:19
Bunuel wrote:

Fresh GMAT Club Tests' Question:



A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?

A. 1/4 unit^3
B. 1 unit^3
C. 2 unit^3
D. 4 unit^3
E. 10 unit^3


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


_________________

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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post Updated on: 25 Dec 2018, 00:42
Bunuel wrote:

Fresh GMAT Club Tests' Question:



A certain rectangular box A, has height of x units, length of y units and width of z units, where x, y, and z are positive integers. A second rectangular box B, has each of its dimensions - height, length and width, 50 percent smaller than that of rectangular box A. If the surface ares of rectangular box B is 2.5 unit^2, what is the volume of rectangular box A?

A. 1/4 unit^3
B. 1 unit^3
C. 2 unit^3
D. 4 unit^3
E. 10 unit^3



sides of box b = x/2,y/2 and z/2

TSA = 2/4(xy+xz+zy)=2.5
or say (xy+xz+zy)= 5

since given that x,y,z are integers
so x=2,y=z=1
so volume would be 2*1*1= 2 IMO c
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Originally posted by Archit3110 on 24 Dec 2018, 06:01.
Last edited by Archit3110 on 25 Dec 2018, 00:42, edited 1 time in total.
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Re: A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post 25 Dec 2018, 00:37
You got the whole solution correct except for the last step which would be 2*1*1 = 2 unit^2

Hence Option (C) is correct.

Best,
Gladi
Archit3110 wrote:
sides of box b = x/2,y/2 and z/2

TSA = 2/4(xy+xz+zy)=2.5
or say (xy+xz+zy)= 5

since given that x,y,z are integers
so x=2,y=z=1
so volume would be 2*2*1= 4 IMO D

_________________

Regards,
Gladi



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Re: A certain rectangular box A, has height of x units, length of y units  [#permalink]

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New post 25 Dec 2018, 00:43
Thanks Gladiator59
wish you merry xmas.. :)


Gladiator59 wrote:
You got the whole solution correct except for the last step which would be 2*1*1 = 2 unit^2

Hence Option (C) is correct.

Best,
Gladi
Archit3110 wrote:
sides of box b = x/2,y/2 and z/2

TSA = 2/4(xy+xz+zy)=2.5
or say (xy+xz+zy)= 5

since given that x,y,z are integers
so x=2,y=z=1
so volume would be 2*2*1= 4 IMO D

_________________

If you liked my solution then please give Kudos. Kudos encourage active discussions.

GMAT Club Bot
Re: A certain rectangular box A, has height of x units, length of y units &nbs [#permalink] 25 Dec 2018, 00:43
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