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# What is the ratio of the surface area of a cube to the

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Joined: 04 May 2006
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What is the ratio of the surface area of a cube to the [#permalink]  03 Mar 2008, 23:26
What is the ratio of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled?

1/4

3/8

1/2

3/5

2
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Joined: 31 Oct 2007
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Location: Frankfurt, Germany
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Re: MC1- Q26 [#permalink]  05 Mar 2008, 20:41
One side surface area of a cube = x*x = x^2
Total 6 sides = 6x^2

As for the rectangular, Height (H) and Width (W) are same as Cube, x. Only Length = 2x.
L x H = 2x * x = 2x^2 ----> 4 sides = 2x^2 * 4 = 8x^2
W * H = x * x = x^2 ------> 2 sides = x^2 * 2 = 2x^2
Total 6 sides = 8x^2 + 2x^2 = 10x^2

Ratio of cube area to rectangular area = 6x^2 / 10x^2 ----> 6/10 ----> 3/5 (E)
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Jimmy Low, Frankfurt, Germany
Blog: http://mytrainmaster.wordpress.com
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Re: MC1- Q26   [#permalink] 05 Mar 2008, 20:41
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