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If one of the sides of a large carton that measures 25 inches by 40

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If one of the sides of a large carton that measures 25 inches by 40  [#permalink]

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New post 24 Feb 2019, 09:43
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

57% (01:24) correct 43% (02:15) wrong based on 14 sessions

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If one of the sides of a large carton that measures 25 inches by 40 inches by 60 inches is to be increased by 2 inches, what is the greatest possible volume increment, in square inches?

(A) 1,600

(B) 2,000

(C) 2,400

(D) 3,000

(E) 4,800

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Re: If one of the sides of a large carton that measures 25 inches by 40  [#permalink]

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New post 25 Feb 2019, 05:46
Volume is length·width·height
We maximise the additional volume by adding it to the shortest side – this way it is multiplied by the largest numbers
Thus, 2·40·60=4800 extra volume
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Re: If one of the sides of a large carton that measures 25 inches by 40  [#permalink]

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New post 25 Feb 2019, 22:12

Solution


Given:
In this question, we are given
    • The measures of three sides of a large carton is 25 inches, 40 inches and 60 inches.
    • One of the three sides is to be increased by 2 inches.

To find:
We need to determine
    • The greatest possible volume increment of that carton, in square inches.

Approach and Working:
The volume increase can happen in three possible ways
    • Increasing 25 by 2 and keeping 40 and 60 as constant
    • Increasing 40 by 2 and keeping 25 and 60 as constant
    • Increasing 60 by 2 and keeping 25 and 40 as constant

As the magnitude of the increase is constant, maximum increase will happen when we increase the smallest number and multiply it by the larger two numbers.

Therefore, maximum increase = 2 x 40 x 60 = 4800 square inches

Hence, the correct answer is option E.

Answer: E

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Re: If one of the sides of a large carton that measures 25 inches by 40  [#permalink]

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New post 26 Feb 2019, 00:59
rohan2345 wrote:
If one of the sides of a large carton that measures 25 inches by 40 inches by 60 inches is to be increased by 2 inches, what is the greatest possible volume increment, in square inches?

(A) 1,600

(B) 2,000

(C) 2,400

(D) 3,000

(E) 4,800


Original area ; 25*40*60 ; 6,00,00
max increase is done by adding 2 inches increase to smallest side i.e 25 here
so increase 4800
IMO E
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Re: If one of the sides of a large carton that measures 25 inches by 40   [#permalink] 26 Feb 2019, 00:59
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