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CatherynPouch CatherynPouch
  • 10-07-2015
  • Mathematics
Answered

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

Verified Answer :

Benjamin16
Benjamin16 Benjamin16
  • 10-07-2015

\(S=6a^{2} \\ \\ 6a^{2}=864 \\ \\ a^{2}=144\)

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naǫ
naǫ naǫ
  • 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.
\(6x=864 \\ x=\frac{864}{4} \\ x=144\)

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

Answer Link

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