Math Problem Statement
A cube is painted on all its faces and then cut in to 343 smaller cubes of equal volume. How many smaller cubes have paint on atleast one face?
Solution
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Math Problem Analysis
Mathematical Concepts
Geometry
Cubic Volume
Surface Area
Formulas
Volume of a cube = side^3
Number of unpainted cubes = inner_cube_side^3
Painted cubes = total_cubes - unpainted_cubes
Theorems
Cube geometry
Perfect cube properties
Suitable Grade Level
Grades 6-8
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