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# A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi

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Math Expert
Joined: 02 Sep 2009
Posts: 59728
A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi  [#permalink]

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19 Mar 2019, 01:44
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Difficulty:

65% (hard)

Question Stats:

52% (02:04) correct 48% (02:26) wrong based on 25 sessions

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A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?

(A) 4.5%
(B) 9%
(C) 12%
(D) 18%
(E) 24%

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Joined: 14 Jan 2016
Posts: 9
Location: India
Concentration: Finance, Marketing
Re: A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi  [#permalink]

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19 Mar 2019, 02:06
Bunuel wrote:
A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?

(A) 4.5%
(B) 9%
(C) 12%
(D) 18%
(E) 24%

Number of corners in cube = 8
volume removed = 3*3*3*8
Total Volume = 15*10*8

Req. %age = (3*3*3*8)/(15*10*8) * 100

Req %age = 18%
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Re: A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi  [#permalink]

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19 Mar 2019, 05:56
Bunuel wrote:
A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?

(A) 4.5%
(B) 9%
(C) 12%
(D) 18%
(E) 24%

total vol = 15*10*8 = 1200
total cube = 8 ; 3*3*3 =27*8
% change = 27*8/1200 = 18%
IMO D
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Re: A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi  [#permalink]

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21 Mar 2019, 18:05
Bunuel wrote:
A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removing a cube 3 cm on a side from each corner of this box. What percent of the original volume is removed?

(A) 4.5%
(B) 9%
(C) 12%
(D) 18%
(E) 24%

The current volume is 15 x 10 x 8 = 1200 cm^3.

Since the box has 8 corners, the amount removed is 8 x (3^3) = 216 cm^3.

So the percent of the box that is removed is 216/1200 = 0.18 = 18 percent.

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Re: A solid box is 15 cm by 10 cm by 8 cm. A new solid is formed by removi   [#permalink] 21 Mar 2019, 18:05
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