A 3-D object made of 2 cm × 2 cm × 2 cm cubes is dipped in paint. . If the painted object is separated into individual cubes, then the total area of the unpainted surfaces will be *

Respuesta :

Answer:

The answer is "[tex]48 \ cm^2[/tex]"

Step-by-step explanation:

Area of every face:

[tex]A=bh\\\\[/tex]

   [tex]=2\times 2\\\\=4 \ cm^2\\[/tex]

count overlaps and times by 2:

So,

[tex]\to 6 \times 2= 12[/tex]

There are 12 unpainted faces each face is [tex]4 \ cm^2\\\\[/tex]

[tex]\to 12 \times 4 \ cm^2\\\\\to 48 \ cm^2[/tex]

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