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Carpenter

This topic has 2 expert replies and 2 member replies
MBA.Aspirant Master | Next Rank: 500 Posts Default Avatar
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Carpenter

Post Mon Nov 21, 2011 3:50 am
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

I think there's a rule regarding similar shapes, for example if the length is doubled, then area is 4 times the original area. is it the same for volume, but the volume is 8 times?

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Post Tue Apr 14, 2015 3:31 am
MBA.Aspirant wrote:
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

I think there's a rule regarding similar shapes, for example if the length is doubled, then area is 4 times the original area. is it the same for volume, but the volume is 8 times?
Solution:

We are given a rectangular sandbox with a given capacity, which is the volume of the sandbox.

Therefore, we know that the volume of the sandbox is: (L)(W)(H) = 10 cubic feet

We then are told that the carpenter doubles the length, the width, and the height. We can represent this doubling as (2L)(2W)(2H). Thus

(2L)(2W)(2H) = (2)(2)(2)(L)(W)(H) = (2)(2)(2)(10) = 80 cubic feet

The Answer is D

_________________
Jeffrey Miller Head of GMAT Instruction

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neelgandham Community Manager
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Top Reply
Post Mon Nov 21, 2011 4:47 am
MBA.Aspirant wrote:
I think there's a rule regarding similar shapes, for example if the length is doubled, then area is 4 times the original area. is it the same for volume, but the volume is 8 times?
I would recommend you to make use of the formula instead of making use of the rules as rules tend to confuse us at times. The answer to the question is definitely 80 and the solution is provided above by Mitch and Pankaj but here is an example where you will appreciate the use of formulae.

A carpenter constructed a cylinder(1) with a total surface area of 10 square feet. If the carpenter were to make a similar cylinder(2) with twice the height and same radius (as cylinder(1)) then the ratio of area of cylinder(1) to the ratio of area of cylinder(2) is ?

a) 1:2
b) 1:4
c) 1:8
d) 1:1
e) Cannot be determined.

I know the above question is horribly framed but if you answer the question you will really appreciate the idea of using formulae.

_________________
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now’s online course at http://www.gmatprepnow.com/

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Post Tue Apr 14, 2015 3:31 am
MBA.Aspirant wrote:
A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A) 20
(B) 40
(C) 60
(D) 80
(E) 100

I think there's a rule regarding similar shapes, for example if the length is doubled, then area is 4 times the original area. is it the same for volume, but the volume is 8 times?
Solution:

We are given a rectangular sandbox with a given capacity, which is the volume of the sandbox.

Therefore, we know that the volume of the sandbox is: (L)(W)(H) = 10 cubic feet

We then are told that the carpenter doubles the length, the width, and the height. We can represent this doubling as (2L)(2W)(2H). Thus

(2L)(2W)(2H) = (2)(2)(2)(L)(W)(H) = (2)(2)(2)(10) = 80 cubic feet

The Answer is D

_________________
Jeffrey Miller Head of GMAT Instruction

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neelgandham Community Manager
Joined
13 May 2011
Posted:
1060 messages
Followed by:
52 members
Upvotes:
318
Test Date:
October 15th 2012
Post Mon Nov 21, 2011 4:47 am
MBA.Aspirant wrote:
I think there's a rule regarding similar shapes, for example if the length is doubled, then area is 4 times the original area. is it the same for volume, but the volume is 8 times?
I would recommend you to make use of the formula instead of making use of the rules as rules tend to confuse us at times. The answer to the question is definitely 80 and the solution is provided above by Mitch and Pankaj but here is an example where you will appreciate the use of formulae.

A carpenter constructed a cylinder(1) with a total surface area of 10 square feet. If the carpenter were to make a similar cylinder(2) with twice the height and same radius (as cylinder(1)) then the ratio of area of cylinder(1) to the ratio of area of cylinder(2) is ?

a) 1:2
b) 1:4
c) 1:8
d) 1:1
e) Cannot be determined.

I know the above question is horribly framed but if you answer the question you will really appreciate the idea of using formulae.

_________________
Anil Gandham
Welcome to BEATtheGMAT | Photography | Getting Started | BTG Community rules | MBA Watch
Check out GMAT Prep Now’s online course at http://www.gmatprepnow.com/

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