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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
Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
The length of an edge of cube A is 5% greater than the length of an ed  [#permalink]

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02 Oct 2018, 00:06
1
00:00

Difficulty:

55% (hard)

Question Stats:

46% (01:08) correct 54% (01:23) wrong based on 28 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
Joined: 29 Dec 2017
Posts: 384
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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05 Oct 2018, 17:05
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
The length of an edge of cube A is 5% greater than the length of an ed &nbs [#permalink] 05 Oct 2018, 17:05
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