SOLUTION: A rectangular box with volume 5 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x
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Question 348317: A rectangular box with volume 5 cubic metres has a square base with side length x metres. Express the surface area S of the box as a function of x
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Let y = height
V = 5 = x^2 * y
y = 5 / x^2
Surface area = a = top + bottom + 4 sides
a = 2x^2 + 4xy
. . . for 5 cubic meters from the volume formula, substute for y
a = 2x^2 + 4x * 5 / x^2
a = 2x^2 + 20x / x^2
a = 2x^2 + 20 / x
a (x) = 2x^2 + 20 / x <===
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