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The rectangular solid above is made up of eight cubes of the

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The rectangular solid above is made up of eight cubes of the [#permalink] New post 13 Jul 2018, 11:54
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The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?

A. \(\frac{1}{6}\)

B. \(\frac{3}{14}\)

C. \(\frac{1}{4}\)

D. \(\frac{2}{7}\)

E. \(\frac{1}{3}\)
[Reveal] Spoiler: OA

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Re: The rectangular solid above is made up of eight cubes of the [#permalink] New post 15 Jul 2018, 07:55
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The rectangular solid above is made up of eight cubes of the same size, each of which has exactly one face painted blue. What is the greatest fraction of the total surface area of the solid that could be blue?

A. \(\frac{1}{6}\)

B. \(\frac{3}{14}\)

C. \(\frac{1}{4}\)

D. \(\frac{2}{7}\)

E. \(\frac{1}{3}\)



Here,

As per the diagram,
The total area that can be blue = 8 sides in the front + 8 sides in the back + 4 sides in the top + 4 sides in the bottom + 2 sides in left side + 2 sides in the right side = 8 + 8 + 4 + 4 + 2 + 2 = 28 sides

So since the greatest no. of sides that can be painted = 8

Therefore the greatest fraction of the total surface area of the solid that could be blue = \(\frac{8}{28} = \frac{2}{7}\)
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Fig 1.jpg
Fig 1.jpg [ 21.41 KiB | Viewed 3155 times ]


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Re: The rectangular solid above is made up of eight cubes of the [#permalink] New post 15 Jul 2018, 08:34
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Super explanation.

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Re: The rectangular solid above is made up of eight cubes of the   [#permalink] 15 Jul 2018, 08:34
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