CatherynPouch CatherynPouch

10-07-2015
Mathematics

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The surface area of a cube is 864 in2. What is the area of one face of this cube?

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Benjamin16 Benjamin16

10-07-2015

[tex]S=6a^{2} \\ \\ 6a^{2}=864 \\ \\ a^{2}=144[/tex]

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10-07-2015

A cube has six identical faces, so the surface area is six times the area of one face.

Let x be the area of one face.
[tex]6x=864 \\ x=\frac{864}{4} \\ x=144[/tex]

The area of one face of this cube is 144 in².

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