SOLUTION: A square metal cake pan is made from a sheet of metal measuring 20 inches by 20 inches as follows. First, four equal squares are cut from the corners. The sides are then bent up an

Question 986964: A square metal cake pan is made from a sheet of metal measuring 20 inches by 20 inches as follows. First, four equal squares are cut from the corners. The sides are then bent up and welded together. The cut-out squares are X inches on a side.
A. Write expressions for the length, width, and height of the cake.
B. Write an expression for the volume of the cake pan. Express the volume as a polynomial.
C. Write an expression for the surface area of the cake pan. Express the surface area as a polynomial.
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Length = (20 - 2x)
Width = (20 - 2x)
Height = x
.........
Volume = (20 - 2x)(20 - 2x) x
Volume = 4x^3 - 80x^2 + 400x
............
Surface Area:
4x^2 - 80x + 400 (Base)
4(20x - 2x^2) (Sides)
80x - 8x^2 (Sides)
Total =
-4x^2 + 400
...........
Hope this helps :-)
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