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The length of an edge of cube A is 5% greater than the length of an ed

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Director
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G
Joined: 20 Feb 2015
Posts: 793
Concentration: Strategy, General Management
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The length of an edge of cube A is 5% greater than the length of an ed  [#permalink]

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New post 02 Oct 2018, 01:06
1
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

43% (00:51) correct 57% (01:21) wrong based on 23 sessions

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The length of an edge of cube A is 5% greater than the length of an edge of cube B. If the volume of cube B is 27 cubic centimetres, then which of the following is nearest to the volume of cube A ?


a. 23.1
b. 24.33
c. 27.0125
d. 28.35
e. 31.25
Senior Manager
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G
Joined: 29 Dec 2017
Posts: 389
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33
GMAT 2: 690 Q47 V37
GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)
The length of an edge of cube A is 5% greater than the length of an ed  [#permalink]

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New post 05 Oct 2018, 18:05
1
V(A)= 1.05 x 1.05 x 1.05 -? \(cm^3\)
V(B)= 1.00 x 1.00 x 1.00 - \(27 cm^3\)

V(A) = (27*1.05 x 1.05 x 1.05)/1.00 = ... Answer E.

Why I didn't calculate and picked the answer E? On a real test you don't have much time for lengthy calculations, so you have to use faster methods, such as approximation. 5% of 27 is 1.35, and you have to add 3* times the number to get the answer. D is too small, hence only E works.

*don't compound because the difference will be very small
GMAT Club Bot
The length of an edge of cube A is 5% greater than the length of an ed &nbs [#permalink] 05 Oct 2018, 18:05
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The length of an edge of cube A is 5% greater than the length of an ed

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