There is a hollow cube of side 5cm and thickness 1cm. It's one side is painted. How many cubes of side 1 cm remain without paint??


vikas1369's picture

Volume of a filled cube of side 5 cm=5x5x5=125

Volume of filled cube of side 3 cm=3x3x3=27

Volume of hollow cube of side 5 cm and thickness 1cm=125-27=98

Total no of cubes with side 1 cm=98/(1x1x1)=98

Total no of cubes on one side of a cube=25(Let's say it is painted)

Total no of cubes without any painted side is 98-25=73

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