Janet bakes the cake in shape of the cube with side length x (in inches). She creates the vertical cut parallel to one of sides, resulting in the slice with width y where x is 5 times as large as y .
a) Explain the function h which finds out volume of cake before Janet makes first cut in terms of original width of cake, x.
b) Explain function g which finds out width of slice of cake in terms of original width of the cake, x .
c) Explain function f that finds out volume of slice of cake in terms of original width of cake, x .
e) Explain a function k that finds out remaining volume of cake in terms of original width of cake,x .
f) Use the function you defined in part (e) to find out the remaining volume of cake if original width of cake was 10 inches.