Kassie205 Kassie205
  • 21-12-2016
  • Mathematics
contestada

A cube has a surface area of 200200 square inches. Which choice is closest to the length of an edge of the cube?

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puresugar10
puresugar10 puresugar10
  • 21-12-2016
You can find the surface area of a cube using the equation [tex]SA=6a^2 [/tex], where a is the length of an edge.

First, substitute. [tex]200200=6a^2[/tex]

Then we simplify. We need to get rid of the squared. The opposite of squaring is square root. [tex] \sqrt{200200} =\sqrt{6a^2 } \\ 447.437146424=6a[/tex]

Now we isolate the variable by dividing by 6. [tex] \frac{447.437146424}{6} = \frac{6a}{6} \\ 74.5728577373=a[/tex]



The edge length of the cube is about 75.57.
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