Subject
Intelligence
Topic
Spatial Intelligence
Subtopic
Cubes and Dice
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Regardless of the cube's size, the cubes with exactly three painted faces are always the 8 corner cubes.…
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This question focuses on the concept of Cubes and Dice under the broader topic of Spatial Intelligence.
Related key concepts: intelligence, logic, reasoning, quantitative.
Spatial Intelligence
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Saba Noor
A large solid wooden cube is painted red on all its outer surfaces and then cut into 64 smaller, equal-sized cubes. How many of the smaller cubes will have exactly THREE faces painted red?
A large solid wooden cube is painted red on all its outer surfaces and then cut into 27 smaller, equal-sized cubes. How many of the smaller cubes will have NO faces painted red (completely unpainted)?
A large solid wooden cube is painted red on all its outer surfaces and then cut into 216 smaller, equal-sized cubes. How many of the smaller cubes will have NO faces painted red (completely unpainted)?
A large solid wooden cube is painted red on all its outer surfaces and then cut into 125 smaller, equal-sized cubes. How many of the smaller cubes will have NO faces painted red (completely unpainted)?
A large solid wooden cube is painted red on all its outer surfaces and then cut into 343 smaller, equal-sized cubes. How many of the smaller cubes will have exactly ONE face painted red?
A large solid wooden cube is painted red on all its outer surfaces and then cut into 64 smaller, equal-sized cubes. How many of the smaller cubes will have exactly TWO faces painted red?
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Source
Standard Entry Tests
Reviewed
29 Jun 2026
Updated
19 Sept 2026
A large solid wooden cube is painted red on all its outer surfaces and then cut into 27 smaller, equal-sized cubes. How many of the smaller cubes will have NO faces painted red (completely unpainted)?
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