Question
Download Solution PDFA cube of side 10 cm is coloured red with a 2 cm wide green strip along all the sides on all the faces. The cube is cut into 125 smaller cubes of equal sizes. How many cubes have atleast one face coloured?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe formula of the number of cubes with no painting = (n-2)3
Where n is the number of faces.
The cube is cut into 125 smaller cubes of equal size = 5 × 5 × 5
So, n = 5.
The formula of the number of cubes with no painting = (5-2)3
The formula of the number of cubes with no painting = 27
The formula of cubes have at least one face coloured = (125 - the number of cubes with no painting)
The formula of cubes have at least one face coloured = 125 - 27
The formula of cubes have at least one face coloured = 98
Hence, "option 3" is the correct answer.
Last updated on Jun 17, 2025
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