Question

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

Answer 1

You can find the surface area of a cube using the equation
`SA=6a^2`, where a is the length of an edge.

First, substitute.
`200200=6a^2`

Then we simplify. We need to get rid of the squared. The opposite of squaring is square root.
`√(200200) =√(6a^2 ) \\ 447.437146424=6a`

Now we isolate the variable by dividing by 6.
`(447.437146424)/(6) = (6a)/(6) \\ 74.5728577373=a`



The edge length of the cube is about 75.57.