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A total of 125 cubes are present. They are stacked in layers

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axeus25
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A total of 125 cubes are present. They are stacked in layers [#permalink] New post   27 Jun 2021, 11:02
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A total of 125 cubes, each 2 inches on an edge, are stacked in layers to form a large solid cube. What is the surface area in square inches of the large cube?

A. 200
B. 500
C. 600
D. 1500
E. 3000
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D
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KarunMendiratta
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Re: A total of 125 cubes are present. They are stacked in layers [#permalink] New post   29 Jun 2021, 09:58
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axeus25 wrote:
A total of 125 cubes, each 2 inches on an edge, are stacked in layers to form a large solid cube. What is the surface area in square inches of the large cube?

A. 200
B. 500
C. 600
D. 1500
E. 3000


Volume of each small cube = \(2^3 = 8in^3\)
Volume of 125 small cubes = \(125 (8) = 1000in^3\)

So, side of larger cube with volume \(1000in^3\), is \(10in\)

Total Surface Area of larger cube \(= 6a^2 = 600in^2\)

The answer should be C???
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taskforce
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Re: A total of 125 cubes are present. They are stacked in layers [#permalink] New post   29 Jun 2021, 22:40
Yes the answer should be C.
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beretta
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Re: A total of 125 cubes are present. They are stacked in layers [#permalink] New post   08 May 2023, 10:13
why not 3000? why don't we multiply 24 (surface area of small cube) by 125 to get the answer?
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Re: A total of 125 cubes are present. They are stacked in layers [#permalink]
08 May 2023, 10:13
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