SOLUTION: what is the best estimate of the length of the side of a cube that has a surface area of 500 cm.^2

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Question 420904: what is the best estimate of the length of the side of a cube that has a surface area of 500 cm.^2
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"what is the best estimate of the length of the side of a cube that has a surface area of 500 cm.^2"

A cube has 6 sides.
The length of each side is the same.....x
Each side has the same area......x^2

6x^2 = 500 {surface area of a cube equals 6(area of one side)}
x^2 ≈ 83.33333 {divided both sides by 6}
x ≈ 9.13 {took square root of both sides}

9.13 would be an estimate for the length of a side
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