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A rectangular prism 3cm x 5cm x 8cm is painted mauve and is then cut into 1cm^3 cubes. What is the total unpainted surface area of these cubes?

 Oct 16, 2020
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painted surface   3 x 5 x 2    +  5 x 8 x 2    + 8x 3 x 2    = 158 cm= 158 painted surfaces

 

total cubes   3 x 5 x 8

   total surfaces   3x 5 x 8 x 6 =720 sufaces  

        unpainted =   720- 158 = 562 unpainted   =   562 cm2

 
 Oct 16, 2020

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