just0me
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A cube-shaped item needs to be painted. The item’s edge length is 2 centimeters. What is the total surface area that will be painted? 16 cm² 24 cm² 32 cm² 48 cm²

Respuesta :

ali015
Since you're painting the sides of the cube, you will need the equation for the surface area of a cube, which is [tex]SA = 6s^{2} [/tex], where SA = surface area and s = length of an edge of the cube.

You're told that the edge length, s = 2cm. Plug this into the equation for surface area:
[tex]SA = 6s^{2}\\ SA = 6 (2\:cm)^{2} \\ SA = 6 (4\:cm^{2} )\\ SA = 24 \:cm^{2}[/tex]

The surface area that will be painted is 24 cm².
The correct answer is:  [B]:  " 24 cm² " .
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Formula for the "Surface Area", "A" , of a cube:

 A = 6 a² ; 

in which  "a"  =  edge length  =  " 2 cm " .
    A  = 6 * (2 cm)²

    A =  6 * 2² * cm² ;

    A  =  6 * 4 * cm² ;
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→  A  = 24 cm² ;  which is:  Answer choice:  [B]:  " 24 cm² " .
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