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Three solid cubes of lead, each with edges 10 centimeters lo
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09 May 2015, 11:34
09 May 2015, 11:34
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Question Stats:
75% (01:20) correct
25% (00:31) wrong based on 8 sessions
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Three solid cubes of lead, each with edges 10 centimeters long, are melted together in a level, rectangular -shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 centimeters, and the pan is 15 centimeters deep. If the volume of the solid lead is approximately the same as the volume of the molted lead, approximately how many centimeters deep is the melted lead in the pan?
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
Kudos for the right answer and explanation
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
Kudos for the right answer and explanation
Re: GRE Math Challenge #86-Three solid cubes of lead
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17 Dec 2017, 23:47
17 Dec 2017, 23:47
1
sandy wrote:
Three solid cubes of lead, each with edges 10 centimeters long, are melted together in a level, rectangular -shaped pan. The base of the pan has inside dimensions of 20 centimeters by 30 centimeters, and the pan is 15 centimeters deep. If the volume of the solid lead is approximately the same as the volume of the molted lead, approximately how many centimeters deep is the melted lead in the pan?
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
(A) 2.5
(B) 3
(C) 5
(D) 7.5
(E) 9
Volume of the solid cubes = 10 * 10 * 10 =1000 \(cm^3\)
Now volume of 3 cubes = 3000 \(cm^3\)
Let d = the height of the melted lead.
and it is given the volume of solid cube = volume of melted lead
Therefore we can write as,
3000 = 20 * 30 * d (where base of the pan = 20 * 30 and d = height of the melted lead)
or d = \(\frac{3000}{600}\) = 5cm
Re: Three solid cubes of lead, each with edges 10 centimeters lo
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11 Dec 2019, 10:21
11 Dec 2019, 10:21
Expert Reply
Bump for further discussion
