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The question is framed incorrectly, it does not make a sense what is written:
//
such that the sides that originally faced outside will remain white. What is the ratio of the total purple surface area and the total white surface area of the smaller cubes ?
/
/

If the sides originally faced outside were to remain white, then what are we painting purple in small cubes ? Its no where mentioned what we will be painting purple in small cubes.

OR

If the question asks us to compare area of Purple sides on large cube, and White on small cubes- Even then the question is wrongly framed.

Pls correct if my understanding is wrong .
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TumharaFaizal
The question is framed incorrectly, it does not make a sense what is written:
//
such that the sides that originally faced outside will remain white. What is the ratio of the total purple surface area and the total white surface area of the smaller cubes ?
/
/

If the sides originally faced outside were to remain white, then what are we painting purple in small cubes ? Its no where mentioned what we will be painting purple in small cubes.

OR

If the question asks us to compare area of Purple sides on large cube, and White on small cubes- Even then the question is wrongly framed.

Pls correct if my understanding is wrong .

Edited
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Bunuel
The outside surface of a white cube with a volume 64 is painted purple. The cube is then cut evenly into smaller 2x2x2 cubes, such that the sides of these cubes that were originally not facing outside remain white. What is the ratio of the total purple surface area and the total white surface area of the smaller cubes ?

A. 3:1
B. 2:1
C. 1:1
D. 1:2
E. 1:3


Are You Up For the Challenge: 700 Level Questions


You can draw the sketch as shown.
As you can see that all the smaller cubes are the corner cubes that have 3 sides facing outwards and the remaining 3 sides created due to cutting.
Hence 3 sides will be purple and other 3 sides white. Similar is the case for all 8 cubes.

So the ratio is 1:1
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Hello from the GMAT Club BumpBot!

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