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A rectangular prism 3cm by \(6\)cm by 8cm is painted mauve and is then cut into 1 cm cubes what is the total unpainted surface area of these cubes

 Feb 10, 2022
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Original painted surface area =  2 ( 3 x 6  + 6x8 + 8x3)   180 cm^2

 

After making it 1 cm^3   there are   3 x 6 x 8 cubes   each with 6 cm^2 surface area = 864 cm^2

 

864-180 = 684 cm^2 unpainted

 Feb 10, 2022

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