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Updated on: 07 Oct 2018, 05:38
Originally posted by GMATBusters on 06 Oct 2018, 10:09.
Last edited by GMATBusters on 07 Oct 2018, 05:38, edited 2 times in total.
Last edited by GMATBusters on 07 Oct 2018, 05:38, edited 2 times in total.
Renamed the topic, edited the question and added the OA.
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C
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Difficulty:
75%
(hard)
Question Stats:
51% (01:54) correct
49%
(01:52)
wrong
based on 235
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There are 64 big cube-shaped bricks painted with yellow. How many small bricks are required to cover the entire outer surface of the big cube so that the yellow paint does not show at all?
A. 32
B. 64
C. 96
D. 180
E. 216
A. 32
B. 64
C. 96
D. 180
E. 216
Weekly Quant Quiz #3 Question No 3
06 Oct 2018, 10:09
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Official Solution
In order to make it so that the yellow paint does not show, 6 white cubes on the right can be put on the surface of each cube. 16 cube-shaped bricks are needed for the white cube on the left and from 16*6=96, there should be at least 96 cube-shaped bricks in order for to cover all the yellow paint. C is the answer.
Answer: C
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06 Oct 2018, 10:14
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Each cube has 6 faces.
We need to cover one face.
Assume 64 cubes make up one big cube.
We need 4x4 cubes per face.
Hence 16x6 such cubic bricks are necessary = 96
We need to cover one face.
Assume 64 cubes make up one big cube.
We need 4x4 cubes per face.
Hence 16x6 such cubic bricks are necessary = 96
