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A wooden cube has sides with thickness 1 inch and has a hollow interio

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A wooden cube has sides with thickness 1 inch and has a hollow interio  [#permalink]

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New post 11 Sep 2018, 01:46
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A wooden cube has sides with thickness 1 inch and has a hollow interior. If this cube has exterior edge 6 inches, how much cloth is required to line the inside of the box?


A. 150 in.^2
B. 100 in.^2
C. 96 in.^2
D. 30 in.^2
E. 25 in.^2

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Re: A wooden cube has sides with thickness 1 inch and has a hollow interio  [#permalink]

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New post 11 Sep 2018, 04:13
Bunuel wrote:
A wooden cube has sides with thickness 1 inch and has a hollow interior. If this cube has exterior edge 6 inches, how much cloth is required to line the inside of the box?


A. 150 in.^2
B. 100 in.^2
C. 96 in.^2
D. 30 in.^2
E. 25 in.^2


Exterior edge = 6
Thickness = 1 inch
Interior dimension = 6-1-1 = 4 because there are two walls so we need to subtract thickness of two walls

Volume of cloth that can be lines inside the box \(= 6*(4^2) = 96 inch^2\)

Answer: option C
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Re: A wooden cube has sides with thickness 1 inch and has a hollow interio  [#permalink]

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New post 14 Sep 2018, 16:53
Bunuel wrote:
A wooden cube has sides with thickness 1 inch and has a hollow interior. If this cube has exterior edge 6 inches, how much cloth is required to line the inside of the box?


A. 150 in.^2
B. 100 in.^2
C. 96 in.^2
D. 30 in.^2
E. 25 in.^2


If the exterior edge of the cube is 6 inches and the thickness of the edge is 1 inch (on each side), then the interior edge of the cube is 4 inches. Thus we need 6 x 4^2 = 96 in^2 of cloth to line the inside of the cube.

Answer: C
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Re: A wooden cube has sides with thickness 1 inch and has a hollow interio &nbs [#permalink] 14 Sep 2018, 16:53
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