Square cuts of the same size are cut from a flat rectangular piece of cardboard. The remaining cardboard is folded into a lidless box. Assume that the cardboard originally measures 15 inches by 10 inches. Let be the length of one side of the square-cut (at this point you should stop and draw a picture). (A) Write a function describing the volume of the resulting box in terms of x.  V(x)=  cubic inches (B) What is an appropriate domain for the volume function?  ≤ x ≤  (C) Now write a function describing the surface area of the box in terms of x.   S(x)=  square inches

Square cuts of the same size are cut from a flat rectangular piece of cardboard. The remaining cardboard is folded into a lidless box. Assume that the cardboard originally measures 15 inches by 10 inches. Let be the length of one side of the square-cut (at this point you should stop and draw a picture).

(A) Write a function describing the volume of the resulting box in terms of x.
 V(x)=  cubic inches

(B) What is an appropriate domain for the volume function?
 ≤ x ≤ 

(C) Now write a function describing the surface area of the box in terms of x.
  S(x)=  square inches