ADA sample test 2009 Cube counting

[dawglala]

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Hi everyone. I have a hard time visualizing this. It asks for the cubes that has 3 painted sides, and I always get five. After searching the forums, I learned that the cubes need to make a solid object, (cube can't attach side to side)but I can't see it from this view. Does it mean there is a cube here? (look at figure) It does not seem like it though. How can we join the first and second row together?



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[wired202808]

Hi everyone. I have a hard time visualizing this. It asks for the cubes that has 3 painted sides, and I always get five. After searching the forums, I learned that the cubes need to make a solid object, (cube can't attach side to side)but I can't see it from this view. Does it mean there is a cube here? (look at figure) It does not seem like it though. How can we join the first and second row together?



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See my attachment, the cubes are glued together but they dont have to be glued at each and every cube, they just have to be glued in a way that no cube is "floating" in mid air. Meaning that the middle cube in the 2nd row is allowed to be missing because its not required for anything else (there is nothing above it) I made the red circles showing you the proper way to differentiate between a cube and a non existent cube. In the 2nd row there is no cube because there is nothing to indicate the top of the cube, meanwhile in the other red circle there is a cube. Hope this helps!

Ps dont think about what's glued or not glued! just look for the sides and make sure you understand whether a cube exists or not. If its doubtful look carefully, if you're confused you can always use the nearby cubes as references.

 

[Dental2000]

Im getting 6 cubes with 3 sides painted? whats the answer

 

[fujindesu]

I keep getting 5 as well, someone please explain.

 

[wired202808]

I keep getting 5 as well, someone please explain.

the answer is 5; it cannot be anything else.

 

[dawglala]

See my attachment, the cubes are glued together but they dont have to be glued at each and every cube, they just have to be glued in a way that no cube is "floating" in mid air. Meaning that the middle cube in the 2nd row is allowed to be missing because its not required for anything else (there is nothing above it) I made the red circles showing you the proper way to differentiate between a cube and a non existent cube. In the 2nd row there is no cube because there is nothing to indicate the top of the cube, meanwhile in the other red circle there is a cube. Hope this helps!

Ps dont think about what's glued or not glued! just look for the sides and make sure you understand whether a cube exists or not. If its doubtful look carefully, if you're confused you can always use the nearby cubes as references.

Thanks for the explanation. Yes, the correct answer is 5 cubes.👍