SOLUTION: The volume of a fish tank with a square base and height y is y^3-6y^2+9y cubic inches. Find the length of a side of the square base.
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-> SOLUTION: The volume of a fish tank with a square base and height y is y^3-6y^2+9y cubic inches. Find the length of a side of the square base.
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Question 323526: The volume of a fish tank with a square base and height y is y^3-6y^2+9y cubic inches. Find the length of a side of the square base. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! The volume of a fish tank with a square base and height y is y^3-6y^2+9y cubic inches. Find the length of a side of the square base.
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Let x = length of a side of the square base
then the volume is:
yx^2
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This then, must equal y^3-6y^2+9y to give us our formula:
yx^2 = y^3-6y^2+9y
Dividing through by y:
x^2 = y^2-6y+9
x^2 = (y-3)(y-3)
x^2 = (y-3)^2
x = y-3
