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# Three solid cubes of lead, each with edges 10 centimeters long, are me

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Math Expert
Joined: 02 Sep 2009
Posts: 56303
Three solid cubes of lead, each with edges 10 centimeters long, are me  [#permalink]

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12 Jul 2018, 00:55
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Difficulty:

45% (medium)

Question Stats:

72% (01:49) correct 28% (01:54) wrong based on 45 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

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Three solid cubes of lead, each with edges 10 centimeters long, are me  [#permalink]

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12 Jul 2018, 02:23
Bunuel 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

The volume of a solid cube of lead is $$10^3$$ or $$1000 cm^3$$. Since there are 3 such
cubes, the total volume of lead that we get on melting the cubes are $$3*1000 = 3000 cm^3$$

The base of the rectangular shaped pan occupies $$20*30 = 600 cm^2$$ of area.

Therefore, there is approximately $$\frac{3000}{600} = 5cm$$(Option C) deep melted lead in the pan.
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Re: Three solid cubes of lead, each with edges 10 centimeters long, are me  [#permalink]

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12 Jul 2018, 02:34
Bunuel 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

total volume of cubes = 3*10^3=3000cm^3
since the volume of solid lead is same as the volume of molten lead
3000=20*30*h
h=5 cm
Re: Three solid cubes of lead, each with edges 10 centimeters long, are me   [#permalink] 12 Jul 2018, 02:34
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