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# GRE Math Challenge #86-Three solid cubes of lead

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GRE Math Challenge #86-Three solid cubes of lead [#permalink]  09 May 2015, 11:34
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Question Stats:

100% (00:30) correct 0% (00:00) wrong based on 2 sessions
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
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #86-Three solid cubes of lead [#permalink]  17 Dec 2017, 23:47
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

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
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Re: GRE Math Challenge #86-Three solid cubes of lead   [#permalink] 17 Dec 2017, 23:47
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