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# How much cardboard will it take to make an open cubical box with no to

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Math Expert
Joined: 02 Sep 2009
Posts: 50619
How much cardboard will it take to make an open cubical box with no to  [#permalink]

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29 Oct 2017, 00:51
00:00

Difficulty:

25% (medium)

Question Stats:

77% (00:48) correct 23% (01:09) wrong based on 76 sessions

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How much cardboard will it take to make an open cubical box with no top?

(1) The area of the bottom of the box is 4 square feet.
(2) The volume of the box is 8 cubic feet

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Senior Manager
Joined: 13 Oct 2016
Posts: 286
GMAT 1: 600 Q44 V28
Re: How much cardboard will it take to make an open cubical box with no to  [#permalink]

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30 Oct 2017, 11:13
1
(1)The area of the bottom of the box is 4 square feet.

Cube is a 3D object with six squares. Therefore area of the bottom of the box which is a square = 4 Hence each side a=2

Since we know the length of each side we can get the length of the cardboard to make open cubical box with no top.

Sufficient

(2)The volume of the box is 8 cubic feet

Volume of cube is a^3=8
Therefore a=2
Same as (1)
Sufficient

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Intern
Joined: 19 Oct 2015
Posts: 29
Re: How much cardboard will it take to make an open cubical box with no to  [#permalink]

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02 Nov 2017, 08:33
Rephrase - What is the area of cubical box without considering area of its top.

Cube is structure where are sides are same.
Area of cube = 6*(side)^2
Volume = (Side)^3

Option 1: Area of bottom of cube is 4 - As itsa cube, the base would be square. hence size of side =2, this is sufficient
Option 2: Volume of Cube is given which is sufficient to find the area of cardboard required.

Manager
Joined: 21 Jun 2014
Posts: 62
Re: How much cardboard will it take to make an open cubical box with no to  [#permalink]

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03 Nov 2017, 04:55
Bunuel wrote:
How much cardboard will it take to make an open cubical box with no top?

(1) The area of the bottom of the box is 4 square feet.
(2) The volume of the box is 8 cubic feet

I think "how much cardboard" is not clear enough. Are we talking about the area? Does thickness of the walls not matter here? So amount of cardboard required may actually depend on properties of cardboard. I would go with E

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Re: How much cardboard will it take to make an open cubical box with no to &nbs [#permalink] 03 Nov 2017, 04:55
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